Varieties with ample cotangent bundle
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Publication:3370372
DOI10.1112/S0010437X05001399zbMath1086.14038arXivmath/0306066MaRDI QIDQ3370372
Publication date: 7 February 2006
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0306066
Complete intersections (14M10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Subvarieties of abelian varieties (14K12)
Related Items (24)
Le théorème de Bertini en famille ⋮ Positivity of cotangent bundles ⋮ Complete intersection varieties with ample cotangent bundles ⋮ On the ampleness of the cotangent bundles of complete intersections ⋮ Symmetric differential forms on complete intersection varieties and applications ⋮ Ampleness of intersections of translates of theta divisors in an abelian fourfold ⋮ Non-Abelian Lefschetz hyperplane theorems ⋮ On the positivity of the logarithmic cotangent bundle ⋮ Effective bounds on ampleness of cotangent bundles ⋮ Boundedness in families with applications to arithmetic hyperbolicity ⋮ Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps ⋮ Existence of nontrivial logarithmic co-Higgs structure on curves ⋮ Ampleness of Schur powers of cotangent bundles and \(k\)-hyperbolicity ⋮ Hyperbolicity of Varieties of Log General Type ⋮ On the restriction of holomorphic forms ⋮ On the hyperbolicity of general hypersurfaces ⋮ Examples of geometric Bombieri-Lang-Noguchi outside Mordell-Lang: nonrigid varieties with ample but not globally generated cotangent bundle ⋮ Hyperbolicity related problems for complete intersection varieties ⋮ Twisted symmetric differentials and the quadric algebra of subvarieties of \(\mathbb{P}^N\) of low codimension ⋮ Symmetric differentials and the fundamental group ⋮ Rationality in Differential Algebraic Geometry ⋮ A remark on the codimension of the Green–Griffiths locus of generic projective hypersurfaces of high degree ⋮ The cotangent map of surfaces of general type ⋮ Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár
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