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Surfaces and Higher Dimensional Varieties
14Jxx
| [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] |
Ingrid Bauer and Fabrizio Catanese.
A volume maximizing canonical surface in 3-space.
arXiv:math/0608020, 14 pages, 2006. |
| [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 classification of surfaces with pg = q = 0 isogenous to a
product of curves.
arXiv:math/0610267, 40 pages, 2006. |
| [6] |
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. |
| [7] |
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. |
| [8] |
Martin Bright.
Brauer groups of diagonal quartic surfaces.
J. Symbolic Comput., 41(5):544–558, 2006. |
| [9] |
S. Allen Broughton.
Enumeration of the equisymmetric strata of the moduli space of
surfaces of low genus.
Preprint, 25 pages. |
| [10] |
G. Brown and K. Suzuki.
Fano 3-folds with divisible anticanonical class.
Manuscripta Math., 123:37–51, 2007. |
| [11] |
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. |
| [12] |
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. |
| [13] |
Gavin Brown.
A database of polarized K3 surfaces.
Experiment. Math., 16(1):7–20, 2007. |
| [14] |
Gavin Brown and Kaori Suzuki.
Computing Fano 3-folds of index ≥ 3.
arXiv:math/0610958, 11 pages, 2006. |
| [15] |
Nils Bruin.
Visualising Sha[2] in abelian surfaces.
Math. Comp., 73(247):1459–1476 (electronic), 2004. |
| [16] |
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. |
| [17] |
Jorge Caravantes.
Low codimension Fano–Enriques threefolds.
arXiv:math.AG/0504072, 27 pages, 2006. |
| [18] |
Alessio Corti and Miles Reid.
Weighted Grassmannians.
In Algebraic Geometry, pages 141–163. de Gruyter, Berlin,
2002. |
| [19] |
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. |
| [20] |
Willem A. de Graaf, Jana Pílniková, and Josef Schicho.
Parametrizing Del Pezzo surfaces of degree 8 using Lie
algebras.
arXiv:math.AG/05012477, 22 pages, 2005. |
| [21] |
Ulrich Derenthal.
On the Cox ring of del Pezzo surfaces.
arXiv:math.AG/0603111, 17 pages, 2006. |
| [22] |
Ulrich Derenthal.
Universal torsors of del Pezzo surfaces and homogeneous spaces.
arXiv:math.AG/0604195, 15 pages, 2006. |
| [23] |
Luis V. Dieulefait.
Computing the level of a modular rigid Calabi-Yau threefold.
Exp. Math, 13(2):165–169, 2004. |
| [24] |
V. Gritsenko, K. Hulek, and G. K. Sankaran.
The Kodaira dimension of the moduli of K3 surfaces.
arXiv:math/0607339, 47 pages, 2006. |
| [25] |
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. |
| [26] |
Kiran S. Kedlaya.
Computing zeta functions of surfaces.
Mathematisches Forschungsinstitut Oberwolfach Report,
32:1808–1810, 2005. |
| [27] |
Carlos Rito.
On surfaces with pg = q = 1 and non-ruled bicanonical involution.
Ann. Scuola Norm. Sup. Pisa, To appear, 22 pages, 2007. |
| [28] |
Stefan Schroeer.
Kummer surfaces for the selfproduct of the cuspidal rational curve.
arXiv:math.AG/0504023, 34 pages, 2005. |
| [29] |
James P Smith.
Picard-Fuchs Differential Equations for Families of K3
Surfaces.
Ph D thesis, University of Warwick, 2007. |
| [30] |
Kaori Suzuki.
On Fano indices of Q-Fano 3-folds.
Manuscripta Math., 114(2):229–246, 2004. |
| [31] |
Ronald van Luijk.
K3 surfaces with Picard number one and infinitely many rational
points.
arXiv:math.AG/0506416 v2, 10 pages, 2005. |
| [32] |
Ronald van Luijk.
Quartic K3 surfaces without nontrivial automorphisms.
Math. Res. Lett., 13(2-3):423–439, 2006. |
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