Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 The effect of points fattening in dimension three
- 2 Some remarks on surface moduli and determinants
- 3 Valuation spaces and multiplier ideals on singular varieties
- 4 Line arrangements modeling curves of high degree: Equations, syzygies, and secants
- 5 Rationally connected manifolds and semipositivity of the Ricci curvature
- 6 Subcanonical graded rings which are not Cohen–Macaulay
- 7 Threefold divisorial contractions to singularities of cE type
- 8 Special prime Fano fourfolds of degree 10 and index 2
- 9 Configuration spaces of complex and real spheres
- 10 Twenty points in ℙ3
- 11 The Betti table of a high-degree curve is asymptotically pure
- 12 Partial positivity: Geometry and cohomology of q-ample line bundles
- 13 Generic vanishing fails for singular varieties and in characteristic p > 0
- 14 Deformations of elliptic Calabi–Yau manifolds
- 15 Derived equivalence and non-vanishing loci II
- 16 The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces
- 17 Lower-order asymptotics for Szegö and Toeplitz kernels under Hamiltonian circle actions
- 18 Gaussian maps and generic vanishing I: Subvarieties of abelian varieties
- 19 Torsion points on cohomology support loci: From D-modules to Simpson's theorem
- 20 Rational equivalence of 0-cycles on K3 surfaces and conjectures of Huybrechts and O'Grady
- References
2 - Some remarks on surface moduli and determinants
Published online by Cambridge University Press: 05 January 2015
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Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 The effect of points fattening in dimension three
- 2 Some remarks on surface moduli and determinants
- 3 Valuation spaces and multiplier ideals on singular varieties
- 4 Line arrangements modeling curves of high degree: Equations, syzygies, and secants
- 5 Rationally connected manifolds and semipositivity of the Ricci curvature
- 6 Subcanonical graded rings which are not Cohen–Macaulay
- 7 Threefold divisorial contractions to singularities of cE type
- 8 Special prime Fano fourfolds of degree 10 and index 2
- 9 Configuration spaces of complex and real spheres
- 10 Twenty points in ℙ3
- 11 The Betti table of a high-degree curve is asymptotically pure
- 12 Partial positivity: Geometry and cohomology of q-ample line bundles
- 13 Generic vanishing fails for singular varieties and in characteristic p > 0
- 14 Deformations of elliptic Calabi–Yau manifolds
- 15 Derived equivalence and non-vanishing loci II
- 16 The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces
- 17 Lower-order asymptotics for Szegö and Toeplitz kernels under Hamiltonian circle actions
- 18 Gaussian maps and generic vanishing I: Subvarieties of abelian varieties
- 19 Torsion points on cohomology support loci: From D-modules to Simpson's theorem
- 20 Rational equivalence of 0-cycles on K3 surfaces and conjectures of Huybrechts and O'Grady
- References
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- Recent Advances in Algebraic GeometryA Volume in Honor of Rob Lazarsfeld’s 60th Birthday, pp. 13 - 28Publisher: Cambridge University PressPrint publication year: 2015
References
[1] and A functorial construction of moduli of sheaves. Invent. Math. 168 (2007) 613–666.Google Scholar
[2] and Reider's theorem and Thaddeus pairs revisited. In Grassmannians, Moduli Spaces and Vector Bundles, and (eds). Clay Proceedings, Vol. 14 (2011), pp. 51–68.Google Scholar
[3] , , and The minimal model program for the Hilbert schemes of points in ℙ2 and Bridgeland stability. Adv. Math. 235 (2013) 580–626.Google Scholar
[4] and (with an appendix by Max Lieblich). Bridgelandstable moduli spaces for K-trivial surfaces. J. Eur. Mat. Soc. (JEMS) 15 (2013) 1–38.Google Scholar
[5] and Forthcoming.
[6] and The space of stability conditions on the local projective plane. Duke Math. J. 160 (2011) 263–322.Google Scholar
[7] and Projectivity and birational geometry of Bridgeland moduli spaces. arXiv:1203.4613, to appear in J. Am. Math. Soc.
[8] and MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations. arXiv:1301.6968.
[9] , and Bridgeland stability conditions on threefolds I: Bogomolov–Gieseker type inequalities. J. Alg Geom. 23 (2014) 117–163.Google Scholar
[10] , , and Bridgeland stability conditions on threefolds II: An application to Fujita's conjecture. arXiv:1106.3430, to appear in J. Alg. Geom.
[11] and The birational geometry of the Hilbert scheme of points on surfaces. In Birational Geometry, Rational Curves and Arithmetic. Simons Symposia, Springer (2013), pp. 15–55.
[12] , and The birational geometry of moduli spaces of sheaves on the projective plane. arXiv:1301.2011, to appear in Geom. Ded.
[13] Holomorphic tensors and vector bundles on projective manifolds. Izv. Akad. Nauk SSSR Ser. Mat. 42(6) (1978) 1227–1287, 1439 (in Russian).Google Scholar
[14] Stability conditions on triangulated categories. Ann. Math. 166(2) (2007)317–345.Google Scholar
[16] and The Geometry of Moduli Spaces of Sheaves. Cambridge: Cambridge University Press, 1997.
[17] Lectures on Vector Bundles. Cambridge Studies in Advanced Mathematics, Vol. 54. Cambridge: Cambridge University Press, 1997.
[18] and Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds. arXiv:1304.3887.
[19] and Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II. arXiv:1310.0299.
[20] generalized Bogomolov–Gieseker inequality for the three-dimensional projective space. rXiv:1207.4980.
[21] Duality, Bridgeland wall crossing and flips of secant varieties. arXiv:1311.1183
[22] and Mumford–Thaddeus principle on the moduli space of vector bundles on an algebraic surface. Int. J. Math. 8 (1997) 97–148.Google Scholar
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