Algebraic Geometry

Curves

14Hxx

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  22. Edray Herber Goins and Davin Maddox, Heron triangles via elliptic curves, Rocky Mountain J. Math. 36 (2006), no. 5, 1511–1526.[MR]
  23. Enrique González-Jiménez and Roger Oyono, Non-hyperelliptic modular curves of genus 3, J. Number Theory 130 (2010), no. 4, 862–878.[MR/doi]
  24. Jordi Guàrdia, Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves, Ann. Inst. Fourier (Grenoble) 57 (2007), no. 4, 1253–1283.[MR]
  25. 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]
  26. 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]
  27. F. Hess, Computing Riemann-Roch spaces in algebraic function fields and related topics, J. Symbolic Comput. 33 (2002), no. 4, 425–445.[MR]
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  29. Christopher Holden, Mod 4 Galois representations and elliptic curves, Proc. Amer. Math. Soc. 136 (2008), no. 1, 31–39 (electronic).[MR]
  30. Hendrik Hubrechts, Quasi-quadratic elliptic curve point counting using rigid cohomology, J. Symb. Comput. 44 (2009), no. 9, 1255–1267.[arXiv]
  31. Samuel Kadziela, Rigid analytic uniformization of curves and the study of isogenies, Acta Appl. Math. 99 (2007), no. 2, 185–204.[MR]
  32. Sotiris Karanikolopoulos, On holomorphic polydifferentials in positive characteristic, preprint (2010), 25.[arXiv]
  33. A. Kontogeorgis, The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence, Math. Z. 259 (2008), no. 3, 471–479.[MR]
  34. Aristides Kontogeorgis and Victor Rotger, On abelian automorphism groups of Mumford curves and applications to Shimura curves, preprint (2006), 16 pages.[arXiv]
  35. Aristides Kontogeorgis and Yifan Yang, Automorphisms of hyperelliptic modular curves X0(N) in positive characteristic, LMS J. Comput. Math. 13 (2010), 144–163.[MR/arXiv]
  36. Aristides Kontogeorgis and Yifan Yang, Automorphisms of hyperelliptic modular curves X0(N) in positive characteristic, LMS J. Comput. Math. 13 (2010), 144-163.
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  38. Claus Lehr and Michel Matignon, Wild monodromy and automorphisms of curves, Duke Math. J. 135 (2006), no. 3, 569–586.[MR]
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  43. Santiago Molina, Equations of hyperelliptic Shimura curves, preprint (2010).[arXiv]
  44. Ian Morrison and David Swinarski, Groebner techniques for low degree Hilbert stability, preprint (2009), 25 pages.[arXiv]
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  49. Magali Rocher, Large p-group actions with a p-elementary abelian derived group, Journal of Algebra 321 (2009), no. 2, 704–740.[doi]
  50. Mohammad Sadek, Counting models of genus one curves, preprint (2010), 22 pages.[arXiv]
  51. Josef Schicho and David Sevilla, Tschirnhaus-Weierstrass curves, preprint (2008), 14 pages.[arXiv]
  52. Jasper Scholten and Hui June Zhu, Families of supersingular curves in characteristic 2, Math. Res. Lett. 9 (2002), no. 5-6, 639–650.[MR/link]
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  55. Tony Shaska, Genus 2 curves with (3,3)-split Jacobian and large automorphism group, Algorithmic Number Theory (Sydney, 2002), Lecture Notes in Comput. Sci., vol. 2369, Springer, Berlin, 2002, pp. 205–218.[MR]
  56. Vijaykumar Singh and Gary McGuire, The intersection of two Fermat hypersurfaces in P3 via computation of quotient curves, preprint (2009), 16 pages.[arXiv]
  57. Paul B. van Wamelen, Computing with the analytic Jacobian of a genus 2 curve, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 117–135.[MR]
  58. Yuri G. Zarhin, Absolutely simple Prymians of trigonal curves, Proceedings of the Steklov Institute of Mathematics 264 (2009), no. 1, 204-215.[arXiv]
  59. Alexander Zvonkin, Megamaps: Construction and examples, Discrete Models: Combinatorics, Computation, and Geometry (Paris, 2001), Discrete Math. Theor. Comput. Sci. Proc., AA, Maison Inform. Math. Discrèt. (MIMD), Paris, 2001, pp. 329–339 (electronic).[MR]