Algebraic Geometry

  1. Timothy G. Abbott, Kiran S. Kedlaya, and David Roe, Bounding Picard numbers of surfaces using p-adic cohomology, preprint (2006), 33 pages.[arXiv]
  2. Fatima K. Abu Salem and Kamal Khuri-Makdisi, Fast Jacobian group operations for C3,4 curves over a large finite field, LMS J. Comput. Math. 10 (2007), 307–328 (electronic).[MR]
  3. Selma Altınok, Gavin Brown, and Miles Reid, Fano 3-folds, K3 surfaces and graded rings, Topology and Geometry: Commemorating SISTAG, Contemp. Math., vol. 314, Amer. Math. Soc., Providence, RI, 2002, pp. 25–53.[MR]
  4. S. Arita, S. Miura, and T. Sekiguchi, An addition algorithm on the Jacobian varieties of curves, J. Ramanujan Math. Soc. 19 (2004), no. 4, 235–251.[MR]
  5. Matthew H. Baker, Enrique González-Jiménez, Josep González, and Bjorn Poonen, Finiteness results for modular curves of genus at least 2, Amer. J. Math. 127 (2005), no. 6, 1325–1387.[MR]
  6. E. Ballico, E. Gasparim, and T. Kölppe, Vector bundles near negative curves: moduli and local Euler characteristic, Comm. Algebra 37 (2009), no. 8, 2688–2713.
  7. Edoardo Ballico, Antonio Cossidente, and Alessandro Siciliano, External flats to varieties in symmetric product spaces over finite fields, Finite Fields Appl. 9 (2003), no. 3, 300–309.[MR/doi]
  8. Tatiana Bandman, Gert-Martin Greuel, Fritz Grunewald, Boris Kunyavskii, Gerhard Pfister, and Eugene Plotkin, Identities for finite solvable groups and equations in finite simple groups, Compos. Math. 142 (2006), no. 3, 734–764.[MR]
  9. Tatiana Bandman, Fritz Grunewald, Boris Kunyavskii, and Nathan Jones, Geometry and arithmetic of verbal dynamical systems on simple groups, Groups, Geometry, and Dynamics 4 (2010), no. 4, 607–655.[arXiv]
  10. Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey El Din, and Eric Schost, On the geometry of polar varieties, Appl. Algebra Engrg. Comm. Comput. 21 (2010), no. 1, 33–83.[MR/doi]
  11. Arthur Baragar and Ronald van Luijk, K3 surfaces with Picard number three and canonical vector heights, Math. Comp. 76 (2007), no. 259, 1493–1498 (electronic).[MR]
  12. Saugata Basu and Michael Kettner, Computing the Betti numbers of arrangements in practice, in Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, vol. 3718, Springer Berlin/Heidelberg, 2005, pp. 13–31.
  13. I. C. Bauer, F. Catanese, and F. Grunewald, The classification of surfaces with pg = q = 0 isogenous to a product of curves, Pure Appl. Math. Q. 4 (2008), no. 2, part 1, 547–586.[MR/arXiv]
  14. Ingrid C. Bauer and Fabrizio Catanese, A volume maximizing canonical surface in 3-space, Comment. Math. Helv. 83 (2008), no. 2, 387–406.[MR]
  15. Ingrid Bauer, Fabrizio Catanese, and Fritz Grunewald, Beauville surfaces without real structures, Geometric Methods in Algebra and Number Theory, Progr. Math., vol. 235, Birkhäuser Boston, Boston, MA, 2005, pp. 1–42.[MR]
  16. Ingrid Bauer, Fabrizio Catanese, and Fritz Grunewald, The absolute Galois group acts faithfully on the connected components of the moduli space of surfaces of general type, preprint (2007), 13 pages.[arXiv]
  17. Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald, and Roberto Pignatelli, Quotients of a product of curves by a finite group and their fundamental groups, preprint (2008), 37 pages.[arXiv]
  18. Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli, Complex surfaces of general type: Some recent progress, Global Aspects of Complex Geometry, Springer, Berlin, 2006, pp. 1–58.[MR]
  19. Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli, The moduli space of surfaces with K2 = 6 and pg = 4, Math. Ann. 336 (2006), no. 2, 421–438.[MR]
  20. Ingrid Bauer, Fabrizio Catanese, and Roberto Pignatelli, Surfaces of general type with geometric genus zero: A survey, preprint (2010), 41 pages.[arXiv]
  21. Ingrid Bauer and Roberto Pignatelli, The classification of minimal product-quotient surfaces with pg = 0, preprint (2010), 53 pages.[arXiv]
  22. Thomas Bayer, An algorithm for computing invariants of linear actions of algebraic groups up to a given degree, J. Symbolic Comput. 35 (2003), no. 4, 441–449.[MR]
  23. Tobias Beck, Formal desingularization of surfaces: the Jung method revisited, J. Symb. Comput. 44 (2009), no. 2, 131–160.[doi/arXiv]
  24. Tobias Beck and Josef Schicho, Adjoint computation for hypersurfaces using formal desingularizations, J. Algebra 320 (2008), no. 11, 3984–3996.[MR/doi]
  25. Tobias Beck and Josef Schicho, Curve parametrization over optimal field extensions exploiting the Newton polygon, Geometric Modeling and Algebraic Geometry, Springer, Berlin, 2008, pp. 119–140.[MR]
  26. David J. Benson, Philip Bergonio, Brian D. Boe, Leonard Chastkofsky, Bobbe Cooper, Jeremiah Hower, Jo Jang Hyun, Jonathan Kujawa, Nadia Mazza, Daniel K. Nakano, Kenyon J. Platt, and Caroline Wright, Support varieties for Weyl modules over bad primes, J. Algebra 312 (2007), no. 2, 602–633.
  27. Gilberto Bini, Quotients of hypersurfaces in weighted projective space, preprint (2009), 13 pages.[arXiv]
  28. Philip Boalch, Higher genus icosahedral Painlevé curves, Funk. Ekvac. (Kobe), 50 (2007), 19–32.[arXiv]
  29. Christian Böhning, The rationality of the moduli space of curves of genus 3 after P. Katsylo, preprint (2008), 39 pages.[arXiv]
  30. M. Borovoi, J. -L. Colliot-Thélène, and A. N. Skorobogatov, The elementary obstruction and homogeneous spaces, Duke Math. J. 141 (2008), no. 2, 321–364.[MR]
  31. Nigel Boston, Reducing the Fontaine-Mazur conjecture to group theory, Progress in Galois theory, Dev. Math., vol. 12, Springer, New York, 2005, pp. 39–50.[MR]
  32. Hans-Christian Graf v. Bothmer, Finite field experiments, Higher-dimensional Geometry over Finite Fields, NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur., vol. 16, IOS, Amsterdam, 2008, pp. 1–62.[MR]
  33. Irene I. Bouw and Stefan Wewers, Indigenous bundles with nilpotent p-curvature, Int. Math. Res. Not. (2006), Art. ID 89254, 37.[MR]
  34. Kristian Brander, An optimal unramified tower of function fields, Algebraic geometry and its applications, Ser. Number Theory Appl., vol. 5, World Sci. Publ., Hackensack, NJ, 2008, pp. 351–365.[MR/doi]
  35. R. de la Bret'che and T. D. Browning, Manin's conjecture for quartic del Pezzo surfaces with a conic fibration, preprint (2008).[arXiv]
  36. Louis Hugo Brewis, Liftable D4-covers, Manuscripta Math. 126 (2008), no. 3, 293–313.[MR]
  37. Friederike Brezing and Annegret Weng, Elliptic curves suitable for pairing based cryptography, Des. Codes Cryptogr. 37 (2005), no. 1, 133–141.[MR]
  38. Martin Bright, Brauer groups of diagonal quartic surfaces, J. Symbolic Comput. 41 (2006), no. 5, 544–558.[MR]
  39. S. Allen Broughton, Enumeration of the equisymmetric strata of the moduli space of surfaces of low genus, Preprint, 25 pages.
  40. Ezra Brown, Bruce T. Myers, and Jerome A. Solinas, Hyperelliptic curves with compact parameters, Des. Codes Cryptogr. 36 (2005), no. 3, 245–261.[MR]
  41. Gavin Brown, Datagraphs in algebraic geometry and K3 surfaces, Symbolic and Numerical Scientific Computation (Hagenberg, 2001), Lecture Notes in Comput. Sci., vol. 2630, Springer, Berlin, 2003, pp. 210–224.[MR]
  42. Gavin Brown, Graded rings and special K3 surfaces, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 137–159.[MR]
  43. Gavin Brown, A database of polarized K3 surfaces, Experiment. Math. 16 (2007), no. 1, 7–20.[MR]
  44. Gavin Brown, Alexander Kasprzyk, and Daniel Ryder, Computational birational geometry of minimal rational surfaces, preprint (2009), 20 pages.[arXiv]
  45. Gavin Brown and Daniel Ryder, Elliptic fibrations on cubic surfaces, J. Pure Appl. Algebra 214 (2010), no. 4, 410–421.[MR/doi]
  46. Gavin Brown and Kaori Suzuki, Computing certain Fano 3-folds, Japan J. Indust. Appl. Math. 24 (2007), no. 3, 241–250.[MR/link]
  47. Gavin Brown and Kaori Suzuki, Fano 3-folds with divisible anticanonical class, Manuscripta Math. 123 (2007), no. 1, 37–51.[MR/doi]
  48. Nils Bruin, Visualising Sha[2] in abelian surfaces, Math. Comp. 73 (2004), no. 247, 1459–1476 (electronic).[MR]
  49. Nils Bruin, The arithmetic of Prym varieties in genus 3, Compos. Math. 144 (2008), no. 2, 317–338.[MR/link]
  50. Nils Bruin and Kevin Doerksen, The arithmetic of genus two curves with (4,4)-split Jacobians, preprint (2010), 22 pages.[arXiv]
  51. Nils Bruin, E. Victor Flynn, Josep González, and Victor Rotger, On finiteness conjectures for endomorphism algebras of abelian surfaces, Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 3, 383–408.[MR/arXiv]
  52. Jan H. Bruinier and Tonghai Yang, CM values of automorphic Green functions on orthogonal groups over totally real fields, preprint (2010), 50 pages.[arXiv]
  53. Anita Buckley and Balázs Szendröi, Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry, J. Algebraic Geom. 14 (2005), no. 4, 601–622.[MR]
  54. Weronika Buczyńska, Phylogenetic varieties on graphs, preprint (2010), 32 pages.[arXiv]
  55. Jarosław Buczyński, Legendrian subvarieties of projective space, Geom. Dedicata 118 (2006), 87–103.[MR]
  56. E. Bujalance, Marston Conder, J. M. Gamboa, G. Gromadzki, and M. Izquierdo, Double coverings of Klein surfaces by a given Riemann surface, J. Pure Appl. Algebra 169 (2002), no. 2-3, 137–151.[MR]
  57. Emilio Bujalance, F. J. Cirre, and Marston Conder, On extendability of group actions on compact Riemann surfaces, Trans. Amer. Math. Soc. 355 (2003), no. 4, 1537–1557 (electronic).[MR]
  58. Laurent Busé and Marc Chardin, Implicitizing rational hypersurfaces using approximation complexes, J. Symbolic Comput. 40 (2005), no. 4-5, 1150–1168.[MR]
  59. Laurent Busé and Jean-Pierre Jouanolou, On the closed image of a rational map and the implicitization problem, J. Algebra 265 (2003), no. 1, 312–357.[MR]
  60. Jorge Caravantes, Low codimension Fano–Enriques threefolds, preprint (2006), 27 pages.[arXiv]
  61. Gabriel Cardona, Representations of Gk-groups and twists of the genus two curve y2=x5 – x, J. Algebra 303 (2006), no. 2, 707–721.[MR]
  62. Robert Carls, David Kohel, and David Lubicz, Higher-dimensional 3-adic CM construction, J. Algebra 319 (2008), no. 3, 971–1006.[MR/arXiv]
  63. Wouter Castryck and John Voight, Nondegenerate curves of low genus over small finite fields, Arithmetic, Geometry, Cryptography and Coding Theory, Contemporary Mathematics, vol. 521, AMS, Providence, R.I., 2009, pp. 21–28.[arXiv]
  64. Gweltaz Chatel and David Lubicz, A point counting algorithm using cohomology with compact support, preprint (2008), 32 pages.[arXiv]
  65. A. Clingher, C. F. Doran, J. Lewis, and U. Whitcher, Normal forms, K3 surface moduli, and modular parametrizations, in Groups and Symmetries: Proceedings of the CRM conference in honor of John McKay,, CRM-AMS Proceedings and Lecture Notes, vol. 47, 2008, 18 pages.
  66. Arjeh M. Cohen, Sergei Haller, and Scott H. Murray, Computing in unipotent and reductive algebraic groups, LMS J. Comput. Math. 11 (2008), 343–366.[MR/arXiv]
  67. Arjeh M. Cohen, Sergei Haller, and Scott H. Murray, Computing with root subgroups of twisted reductive groups, preprint Submitted (2009).
  68. Patrick Corn, Tate-Shafarevich groups and K3 surfaces, Math. Comp., to appear (2007), 17 pages.
  69. Patrick Corn, The Brauer-Manin obstruction on del Pezzo surfaces of degree 2, Proc. Lond. Math. Soc. (3) 95 (2007), no. 3, 735–777.[MR]
  70. Alessio Corti and Miles Reid, Weighted Grassmannians, Algebraic Geometry, de Gruyter, Berlin, 2002, pp. 141–163.[MR]
  71. J. -M. Couveignes, Linearizing torsion classes in the Picard group of algebraic curves over finite fields, J. Algebra 321 (2009), no. 8, 2085–2118.[MR/arXiv]
  72. David A. Cox, John Little, and Donal O'Shea, Using Algebraic Geometry, Graduate Texts in Mathematics, vol. 185, Springer, New York, 2005, pp. xii+572.[MR]
  73. J. E. Cremona, T. A. Fisher, C. O'Neil, D. Simon, and M. Stoll, Explicit n-descent on elliptic curves, II: Geometry, J. reine angew. Math 2009 (2009), no. 632, 63–84.[arXiv]
  74. John Cullinan, Local-global properties of torsion points on three-dimensional abelian varieties, J. Algebra 311 (2007), no. 2, 736–774.[MR]
  75. Wolfram Decker and Christoph Lossen, Computing in algebraic geometry, Algorithms and Computation in Mathematics, vol. 16, Springer-Verlag, Berlin, 2006, pp. xvi+327.[MR]
  76. Jan Denef and Frederik Vercauteren, An extension of Kedlaya's algorithm to Artin-Schreier curves in characteristic 2, Algorithmic Number Theory (Sydney, 2002), Lecture Notes in Comput. Sci., vol. 2369, Springer, Berlin, 2002, pp. 308–323.[MR]
  77. Ulrich Derenthal, On the Cox ring of del Pezzo surfaces, preprint (2006), 17 pages.[arXiv]
  78. Ulrich Derenthal, Universal torsors of del Pezzo surfaces and homogeneous spaces, Adv. Math. 213 (2007), no. 2, 849–864.[MR]
  79. Michael Dettweiler and Stefan Reiter, On exceptional rigid local systems, preprint (2006), 11 pages.[arXiv]
  80. Luis V. Dieulefait, Computing the level of a modular rigid Calabi-Yau threefold, Exp. Math 13 (2004), no. 2, 165-169.
  81. Laurent Ducrohet, The Frobenius action on rank 2 vector bundles over curves in small genus and small characteristic, Ann. Inst. Fourier (Grenoble) 59 (2009), no. 4, 1641–1669.[MR/link]
  82. Noam D. Elkies, Three lectures on elliptic surfaces and curves of high rank, preprint (2007), 14 pages.[arXiv]
  83. Arsen Elkin and Yuri G. Zarhin, Endomorphism algebras of hyperelliptic Jacobians and finite projective lines, J. Ramanujan Math. Soc. 21 (2006), 169-187.[MR]
  84. Pavel Etingof and Victor Ginzburg, Noncommutative complete intersections and matrix integrals, Pure Appl. Math. Q. 3 (2007), no. 1, part 3, 107–151.[MR/arXiv]
  85. Pavel Etingof, Alexei Oblomkov, and Eric Rains, Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces, Adv. Math. 212 (2007), no. 2, 749–796.[MR]
  86. Xander Faber and Benjamin Hutz, On the number of rational iterated pre-images of the origin under quadratic dynamical systems, preprint (2008), 18 pages.[arXiv]
  87. Xander Faber, Benjamin Hutz, Patrick Ingram, Rafe Jones, Michelle Manes, Thomas J. Tucker, and Michael E. Zieve, Uniform bounds on pre-images under quadratic dynamical systems, Math. Res. Lett. 16 (2009), no. 1, 87–101.[MR/arXiv]
  88. Tom Fisher, Genus one curves defined by Pfaffians, preprint (2004), 24 pages.
  89. Tom Fisher, Testing equivalence of ternary cubics, Algorithmic Number Theory (Berlin, 2006), Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 333–345.[MR]
  90. Tom Fisher, A new approach to minimising binary quartics and ternary cubics, Math. Res. Lett. 14 (2007), no. 4, 597–613.[MR/link]
  91. Tom Fisher, Finding rational points on elliptic curves using 6-descent and 12-descent, J. Algebra 320 (2008), no. 2, 853–884.[MR]
  92. Tom Fisher, The invariants of a genus one curve, Proc. Lond. Math. Soc. (3) 97 (2008), no. 3, 753–782.[MR/arXiv]
  93. Stéphane Flon, Roger Oyono, and Christophe Ritzenthaler, Fast addition on non-hyperelliptic genus 3 curves, Algebraic geometry and its applications, Ser. Number Theory Appl., vol. 5, World Sci. Publ., Hackensack, NJ, 2008, pp. 1–28.[MR]
  94. E. V. Flynn, The Hasse principle and the Brauer-Manin obstruction for curves, Manuscripta Math. 115 (2004), no. 4, 437–466.[MR]
  95. David Freeman and Kristin Lauter, Computing endomorphism rings of Jacobians of genus 2 curves over finite fields, Algebraic geometry and its applications, Ser. Number Theory Appl., vol. 5, World Sci. Publ., Hackensack, NJ, 2008, pp. 29–66.[MR]
  96. Steven D. Galbraith, Weil descent of Jacobians, Discrete Appl. Math. 128 (2003), no. 1, 165–180.[MR]
  97. Steven D. Galbraith and Xibin Lin, Computing pairings using x-coordinates only, Des. Codes Cryptogr. 50 (2009), no. 3, 305–324.[MR/eprint]
  98. André Galligo and David Rupprecht, Irreducible decomposition of curves, J. Symbolic Comput. 33 (2002), no. 5, 661–677.[MR]
  99. Alice Garbagnati and Alessandra Sarti, Elliptic fibrations and symplectic automorphisms on K3 surfaces, Comm. Algebra 37 (2009), no. 10, 3601–3631.[MR/doi]
  100. Shelly Garion and Matteo Penegini, New Beauville surfaces, moduli spaces and finite groups, preprint (2009), 36 pages.[arXiv]
  101. P. Gaudry, T. Houtmann, D. Kohel, C. Ritzenthaler, and A. Weng, The 2-adic CM method for genus 2 curves with application to cryptography, Advances in cryptology—ASIACRYPT 2006, Lecture Notes in Comput. Sci., vol. 4284, Springer, Berlin, 2006, pp. 114–129.[MR]
  102. P. Gaudry and É. Schost, On the invariants of the quotients of the Jacobian of a curve of genus 2, Applied Algebra, Algebraic Algorithms and Error-correcting Codes (Melbourne, 2001), Lecture Notes in Comput. Sci., vol. 2227, Springer, Berlin, 2001, pp. 373–386.[MR]
  103. University of Georgia VIGRE Algebra Group, Varieties of nilpotent elements for simple Lie algebras. II. Bad primes, J. Algebra 292 (2005), no. 1, 65–99.[MR]
  104. University of Georgia VIGRE Algebra Group, Support varieties for Weyl modules over bad primes, J. Algebra 312 (2007), no. 2, 602–633.[MR]
  105. Ralf Gerkmann, Relative rigid cohomology and deformation of hypersurfaces, Int. Math. Res. Pap. IMRP (2007), no. 1, Art. ID rpm003, 67.[MR]
  106. Ralf Gerkmann, Mao Sheng, and Kang Zuo, Computational details on the disproof of modularity, preprint (2007), 16 pages.[arXiv]
  107. Victor Ginzburg, Calabi-Yau algebras, preprint (2007), 79 pages.[arXiv]
  108. Martine Girard, The group of Weierstrass points of a plane quartic with at least eight hyperflexes, Math. Comp. 75 (2006), no. 255, 1561–1583 (electronic).[MR]
  109. Martine Girard and David R. Kohel, Classification of genus 3 curves in special strata of the moduli space, Algorithmic Number Theory (Berlin, 2006), Lecture Notes in Comput. Sci., vol. 4076, Springer, Berlin, 2006, pp. 346–360.[MR]
  110. Martine Girard and Leopoldo Kulesz, Computation of sets of rational points of genus-3 curves via the Demjanenko-Manin method, LMS J. Comput. Math. 8 (2005), 267–300 (electronic).[MR]
  111. Massimo Giulietti, Algebraic curves over finite fields and MAGMA, Ital. J. Pure Appl. Math. (2000), no. 8, 19–32.[MR]
  112. Edray Herber Goins and Davin Maddox, Heron triangles via elliptic curves, Rocky Mountain J. Math. 36 (2006), no. 5, 1511–1526.[MR]
  113. Josep González and Victor Rotger, Non-elliptic Shimura curves of genus one, J. Math. Soc. Japan 58 (2006), no. 4, 927–948.[MR]
  114. Enrique González-Jiménez and Roger Oyono, Non-hyperelliptic modular curves of genus 3, J. Number Theory 130 (2010), no. 4, 862–878.[MR/doi]
  115. Eyal Z. Goren and Kristin E. Lauter, The distance between superspecial abelian varieties with real multiplication, J. Number Theory 129 (2009), no. 6, 1562–1578.[MR]
  116. Willem A. de Graaf, Constructing algebraic groups from their Lie algebras, J. Symbolic Comput. 44 (2009), no. 9, 1223–1233.[arXiv]
  117. Willem A. de Graaf, Michael Harrison, Jana Pílniková, and Josef Schicho, A Lie algebra method for rational parametrization of Severi-Brauer surfaces, J. Algebra 303 (2006), no. 2, 514–529.[MR]
  118. Willem A. de Graaf, Jana Pílniková, and Josef Schicho, Parametrizing del Pezzo surfaces of degree 8 using Lie algebras, J. Symbolic Comput. 44 (2009), no. 1, 1–14.[arXiv]
  119. V. A. Gritsenko, K. Hulek, and G. K. Sankaran, The Kodaira dimension of the moduli of K3 surfaces, Invent. Math. 169 (2007), no. 3, 519–567.[MR]
  120. Jordi Guàrdia, Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves, Ann. Inst. Fourier (Grenoble) 57 (2007), no. 4, 1253–1283.[MR]
  121. Pierre Guillot, The Chow rings of G2 and Spin(7), J. Reine Angew. Math. 604 (2007), 137–158.[MR]
  122. Cem Güneri, Henning Stichtenoth, and Ihsan Taşkın, Further improvements on the designed minimum distance of algebraic geometry codes, J. Pure Appl. Algebra 213 (2009), no. 1, 87–97.[MR]
  123. Robert Guralnick and John Shareshian, Symmetric and alternating groups as monodromy groups of Riemann surfaces. I. Generic covers and covers with many branch points, Mem. Amer. Math. Soc. 189 (2007), no. 886, vi+128.[MR]
  124. Emmanuel Hallouin, Study and computation of a Hurwitz space and totally real PSL2(F8)-extensions of Q, J. Algebra 292 (2005), no. 1, 259–281.[MR]
  125. Johan P. Hansen, Toric varieties, Hirzebruch surfaces and error-correcting codes, Appl. Algebra Engrg. Comm. Comput. 13 (2002), no. 4, 289–300.[MR]
  126. Johan P. Hansen, Toric surfaces and codes, techniques and examples, Preprint Series No.1., University of Aarhus, Department of Mathematics, Aarhus, Denmark (2004), 12 pages.
  127. David Harari and Tamás Szamuely, Galois sections for abelianized fundamental groups, Math. Ann. 344 (2009), no. 4, 779–800.[MR/arXiv]
  128. Michael Harrison and Josef Schicho, Rational parametrisation for degree 6 Del Pezzo surfaces using Lie algebras, ISSAC 2006, ACM, New York, 2006, pp. 132–137.[MR]
  129. Brendan Hassett, Anthony Vàrilly-Alvarado, and Patrick Varilly, Transcendental obstructions to weak approximation on general K3 surfaces, preprint (2010), 24 pages.[arXiv]
  130. Anthony Henderson and Eric Rains, The cohomology of real De Concini-Procesi models of Coxeter type, Int. Math. Res. Not. IMRN (2008), no. 7, Art. ID rnn001, 29.[MR]
  131. F. Hess, Computing Riemann-Roch spaces in algebraic function fields and related topics, J. Symbolic Comput. 33 (2002), no. 4, 425–445.[MR]
  132. Florian Hess, An algorithm for computing Weierstrass points, Algorithmic Number Theory (Sydney, 2002), Lecture Notes in Comput. Sci., vol. 2369, Springer, Berlin, 2002, pp. 357–371.[MR]
  133. Florian Hess, A note on the Tate pairing of curves over finite fields, Arch. Math. (Basel) 82 (2004), no. 1, 28–32.[MR]
  134. Christopher Holden, Mod 4 Galois representations and elliptic curves, Proc. Amer. Math. Soc. 136 (2008), no. 1, 31–39 (electronic).[MR]
  135. David Holmes, Canonical heights on hyperelliptic curves and effective Q-factoriality for arithmetic surfaces, preprint (2010), 17 pages.[MR/arXiv]
  136. Ben Howard, John Millson, Andrew Snowden, and Ravi Vakil, The ring of projective invariants of eight points on the line via representation theory, preprint (2008), 16 pages.[arXiv]
  137. Benjamin Howard, John Millson, Andrew Snowden, and Ravi Vakil, The equations for the moduli space of n points on the line, Duke Math. J. 146 (2009), no. 2, 175–226.[MR/doi]
  138. E. W. Howe and K. E. Lauter, Improved upper bounds for the number of points on curves over finite fields, Ann. Inst. Fourier (Grenoble) 53 (2003), no. 6, 1677–1737.[MR]
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  142. Hendrik Hubrechts, Memory efficient hyperelliptic curve point counting, preprint (2006), 10 pages.[arXiv]
  143. Hendrik Hubrechts, Quasi-quadratic elliptic curve point counting using rigid cohomology, J. Symb. Comput. 44 (2009), no. 9, 1255–1267.[arXiv]
  144. Stephen P. Humphries, Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space, Invent. Math. 144 (2001), no. 3, 451–505.[MR/link]
  145. Nathan Owen Ilten and Hendrik Süß, AG codes from polyhedral divisors, preprint (2008), 30 pages.[arXiv]
  146. Farzali A. Izadi and V. Kumar Murty, Counting points on an abelian variety over a finite field, Progress in Cryptology—Indocrypt 2003, Lecture Notes in Comput. Sci., vol. 2904, Springer, Berlin, 2003, pp. 323–333.[MR]
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  148. Rafe Jones and Jeremy Rouse, Galois theory of iterated endomorphisms, Proc. London Math. Soc. (3) 100 (2010), 763–794.[doi]
  149. Rafe Jones and Jeremy Rouse, Iterated endomorphisms of abelian algebraic groups, Proc. London Math. Soc. 100 (2010), 763–794.[doi/arXiv]
  150. Michael Joswig and Nikolaus Witte, Products of foldable triangulations, Adv. Math. 210 (2007), no. 2, 769–796.[MR]
  151. David Joyner and Amy Ksir, Modular representations on some Riemann-Roch spaces of modular curves X(N), Computational Aspects of Algebraic Curves, Lecture Notes Ser. Comput., vol. 13, World Sci. Publ., Hackensack, NJ, 2005, pp. 163–205.[MR]
  152. Samuel Kadziela, Rigid analytic uniformization of curves and the study of isogenies, Acta Appl. Math. 99 (2007), no. 2, 185–204.[MR]
  153. Sotiris Karanikolopoulos, On holomorphic polydifferentials in positive characteristic, preprint (2010), 25.[arXiv]
  154. P. I. Katsylo and V. L. Popov, On fixed points of algebraic actions on Cn, Funktsional. Anal. i Prilozhen. 34 (2000), no. 1, 41–50, 96.[MR/link]
  155. Kiran S. Kedlaya, Computing zeta functions via p-adic cohomology, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 3076, Springer, Berlin, 2004, pp. 1–17.[MR]
  156. Kiran S. Kedlaya, Computing zeta functions of surfaces, Mathematisches Forschungsinstitut Oberwolfach Report 32 (2005), 1808–1810.
  157. Masanari Kida, Kummer theory for norm algebraic tori, J. Algebra 293 (2005), no. 2, 427–447.[MR]
  158. Kenji Koike and Annegret Weng, Construction of CM Picard curves, Math. Comp. 74 (2005), no. 249, 499–518 (electronic).[MR]
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