| [1] |
Selma Altınok, Gavin Brown, and Miles Reid.
Fano 3-folds, K3 surfaces and graded rings.
In Topology and Geometry: Commemorating SISTAG, volume 314
of Contemp. Math., pages 25–53. Amer. Math. Soc., Providence, RI,
2002. |
| [2] |
Arthur Baragar and Ronald van Luijk.
K3 surfaces with Picard number three and canonical vector
heights.
Math. Comp., 76(259):1493–1498 (electronic), 2007. |
| [3] |
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(2, part 1):547–586, 2008. |
| [4] |
Ingrid Bauer, Fabrizio Catanese, and Fritz Grunewald.
Beauville surfaces without real structures.
In Geometric Methods in Algebra and Number Theory, volume 235
of Progr. Math., pages 1–42. Birkhäuser Boston, Boston, MA, 2005. |
| [5] |
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.
arXiv:0706.1466v1 [math.AG], 13 pages, 2007. |
| [6] |
Ingrid Bauer, Fabrizio Catanese, Fritz Grunewald, and Roberto Pignatelli.
Quotients of a product of curves by a finite group and their
fundamental groups.
arXiv:0809.3420, 37 pages, 2008. |
| [7] |
Ingrid C. Bauer and Fabrizio Catanese.
A volume maximizing canonical surface in 3-space.
Comment. Math. Helv., 83(2):387–406, 2008. |
| [8] |
Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli.
Complex surfaces of general type: Some recent progress.
In Global Aspects of Complex Geometry, pages 1–58.
Springer, Berlin, 2006. |
| [9] |
Ingrid C. Bauer, Fabrizio Catanese, and Roberto Pignatelli.
The moduli space of surfaces with K² = 6 and pg = 4.
Math. Ann., 336(2):421–438, 2006. |
| [10] |
Tobias Beck.
Formal desingularization of surfaces: The Jung method revisited.
J. Symb. Comput., 44(2):131–160, 2009. |
| [11] |
Tobias Beck and Josef Schicho.
Adjoint computation for hypersurfaces using formal
desingularizations.
Journal of Algebra, 320(11):3984 – 3996, 2008. |
| [12] |
Martin Bright.
Brauer groups of diagonal quartic surfaces.
J. Symbolic Comput., 41(5):544–558, 2006. |
| [13] |
S. Allen Broughton.
Enumeration of the equisymmetric strata of the moduli space of
surfaces of low genus.
Preprint, 25 pages. |
| [14] |
G. Brown and K. Suzuki.
Fano 3-folds with divisible anticanonical class.
Manuscripta Math., 123:37–51, 2007. |
| [15] |
Gavin Brown.
Datagraphs in algebraic geometry and K3 surfaces.
In Symbolic and Numerical Scientific Computation
(Hagenberg, 2001), volume 2630 of Lecture Notes in Comput. Sci., pages
210–224. Springer, Berlin, 2003. |
| [16] |
Gavin Brown.
Graded rings and special K3 surfaces.
In Discovering Mathematics with Magma, volume 19 of Algorithms Comput. Math., pages 137–159. Springer, Berlin, 2006. |
| [17] |
Gavin Brown.
A database of polarized K3 surfaces.
Experiment. Math., 16(1):7–20, 2007. |
| [18] |
Gavin Brown and Kaori Suzuki.
Computing certain Fano 3-folds.
Japan J. Indust. Appl. Math., 24(3):241–250, 2007. |
| [19] |
Gavin Brown and Kaori Suzuki.
Fano 3-folds with divisible anticanonical class.
Manuscripta Math., 123(1):37–51, 2007. |
| [20] |
Nils Bruin.
Visualising Sha[2] in abelian surfaces.
Math. Comp., 73(247):1459–1476 (electronic), 2004. |
| [21] |
Anita Buckley and Balázs Szendröi.
Orbifold Riemann-Roch for threefolds with an application to
Calabi-Yau geometry.
J. Algebraic Geom., 14(4):601–622, 2005. |
| [22] |
Jorge Caravantes.
Low codimension Fano–Enriques threefolds.
arXiv:math.AG/0504072, 27 pages, 2006. |
| [23] |
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,, volume 47 of CRM-AMS Proceedings and Lecture
Notes, 18 pages, 2008. |
| [24] |
Patrick Corn.
Tate-Shafarevich groups and K3 surfaces.
Math. Comp., To appear, 17 pages, 2007. |
| [25] |
Alessio Corti and Miles Reid.
Weighted Grassmannians.
In Algebraic Geometry, pages 141–163. de Gruyter, Berlin,
2002. |
| [26] |
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(2):514–529, 2006. |
| [27] |
Willem A. de Graaf, Jana Pílniková, and Josef Schicho.
Parametrizing del Pezzo surfaces of degree 8 using Lie algebras.
J. Symbolic Comput., 44(1):1 – 14, 2009. |
| [28] |
Ulrich Derenthal.
On the Cox ring of del Pezzo surfaces.
arXiv:math.AG/0603111, 17 pages, 2006. |
| [29] |
Ulrich Derenthal.
Universal torsors of del Pezzo surfaces and homogeneous spaces.
Adv. Math., 213(2):849–864, 2007. |
| [30] |
Luis V. Dieulefait.
Computing the level of a modular rigid Calabi-Yau threefold.
Exp. Math, 13(2):165–169, 2004. |
| [31] |
Noam D. Elkies.
Three lectures on elliptic surfaces and curves of high rank.
arXiv:0709.2908v1, 14 pages, 2007. |
| [32] |
Pavel Etingof, Alexei Oblomkov, and Eric Rains.
Generalized double affine Hecke algebras of rank 1 and quantized
del Pezzo surfaces.
Adv. Math., 212(2):749–796, 2007. |
| [33] |
Victor Ginzburg.
Calabi-Yau algebras.
arXiv:math.AG/0612139v3, 79 pages, 2007. |
| [34] |
V. A. Gritsenko, K. Hulek, and G. K. Sankaran.
The Kodaira dimension of the moduli of K3 surfaces.
Invent. Math., 169(3):519–567, 2007. |
| [35] |
Johan P. Hansen.
Toric surfaces and codes, techniques and examples.
Preprint Series No.1., University of Aarhus, Department of
Mathematics, Aarhus, Denmark, 12 pages, 2004. |
| [36] |
Kiran S. Kedlaya.
Computing zeta functions of surfaces.
Mathematisches Forschungsinstitut Oberwolfach Report,
32:1808–1810, 2005. |
| [37] |
Adam Logan.
The Brauer-Manin obstruction on del Pezzo surfaces of degree 2
branched along a plane section of a Kummer surface.
Math. Proc. Cambridge Philos. Soc., 144(3):603–622, 2008. |
| [38] |
Francesco Polizzi.
Standard isotrivial fibrations with pg = q = 1.
Journal of Algebra, 321(6):1600 – 1631, 2009. |
| [39] |
Gopal Prasad and Sai-Kee Yeung.
Fake projective planes.
Invent. Math., 168(2):321–370, 2007. |
| [40] |
Carlos Rito.
On surfaces with pg = q = 1 and non-ruled bicanonial involution.
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 6(1):81–102, 2007. |
| [41] |
Carlos Rito.
Involutions on surfaces with pg = q = 1.
arXiv:0805.4513v1 [math.AG], 34 pages, 2008. |
| [42] |
Carlos Rito.
On equations of double planes with pg = q = 1.
arXiv:0804.2227v1 [math.AG], 18 pages, 2008. |
| [43] |
Stefan Schröer.
Kummer surfaces for the self-product of the cuspidal rational curve.
J. Algebraic Geom., 16(2):305–346, 2007. |
| [44] |
James P Smith.
Picard-Fuchs Differential Equations for Families of K3
Surfaces.
Ph D thesis, University of Warwick, 2007. |
| [45] |
Kaori Suzuki.
On Fano indices of Q-Fano 3-folds.
Manuscripta Math., 114(2):229–246, 2004. |
| [46] |
Ronald van Luijk.
K3 surfaces with Picard number one and infinitely many rational
points.
arXiv:math.AG/0506416 v2, 10 pages, 2005. |
| [47] |
Ronald van Luijk.
Quartic K3 surfaces without nontrivial automorphisms.
Math. Res. Lett., 13(2-3):423–439, 2006. |
| [48] |
Ronald van Luijk.
An elliptic K3 surface associated to Heron triangles.
J. Number Theory, 123(1):92–119, 2007. |
| [49] |
Anthony Várilly-Alvarado.
Weak approximation on del Pezzo surfaces of degree 1.
Adv. Math., 219(6):2123–2145, 2008. |
| [50] |
Bogdan G. Vioreanu.
Mordell-Weil problem for cubic surfaces, numerical evidence.
arXiv:0802.0742v1 [math.AG], 22 pages, 2008. |