Ampleness of Schur powers of cotangent bundles and \(k\)-hyperbolicity

DOI10.1007/s40687-020-00243-2zbMath1457.14106arXiv1907.09174OpenAlexW3125570172MaRDI QIDQ2226534

Antoine Etesse

Publication date: 8 February 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09174

zbMATH Keywords

cotangent bundlecomplete intersectionflag manifoldshyperbolicityampleness

Mathematics Subject Classification ID

Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Complete intersections (14M10) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Sheaves in algebraic geometry (14F06)

Related Items (2)

Complex-analytic intermediate hyperbolicity, and finiteness properties ⋮ On the locus of higher order jets of entire curves in complex projective varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric differential forms on complete intersection varieties and applications
• On the hyperbolicity of general hypersurfaces
• Homogeneous vector bundles
• Vanishing theorems for tensor powers of an ample vector bundle
• Complete intersection varieties with ample cotangent bundles
• On the ampleness of the cotangent bundles of complete intersections
• Ampleness equivalence and dominance for vector bundles
• \(T\)-symmetrical tensor forms on complete intersections
• Le théorème de Bertini en famille
• On the Diverio-Trapani conjecture
• Varieties with ample cotangent bundle

This page was built for publication: Ampleness of Schur powers of cotangent bundles and \(k\)-hyperbolicity