Ampleness of intersections of translates of theta divisors in an abelian fourfold

DOI10.1090/S0002-9939-07-08964-2zbMath1128.14032arXivmath/0506374MaRDI QIDQ5308112

Elham Izadi, Olivier Debarre

Publication date: 27 September 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506374

zbMATH Keywords

abelian varietycomplete intersectionalgebraic surfaceample cotangent bundle

Mathematics Subject Classification ID

Complete intersections (14M10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Subvarieties of abelian varieties (14K12)

Cites Work

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• Propriétés de descente des variétés à fibré cotangent ample
• A higher dimensional analogue of Mordell's conjecture over function fields
• Remarks on rational points of varieties whose cotangent bundles are generated by global sections
• Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\)
• Varieties with ample cotangent bundle
• Finiteness of the Family of Rational and Meromorphic Mappings Into Algebraic Varieties

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