Varieties with ample tangent sheaves

DOI10.1007/s00229-017-0979-7zbMath1405.14113arXiv1704.00218OpenAlexW3099008718MaRDI QIDQ1673765

Philip Sieder

Publication date: 14 September 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00218

zbMATH Keywords

rational curvedesingularizationnormal projective varietyample tangent sheafanticanonical degree

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Cites Work

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• An optimal extension theorem for 1-forms and the Lipman-Zariski conjecture
• Galois coverings and endomorphisms of projective varieties
• A numerical criterion for uniruledness
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• On singular varieties with ample tangent bundle
• Lectures on Resolution of Singularities (AM-166)
• On coverings of simple abelian varieties
• Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
• Faisceaux Amples sur les Espaces Analytiques
• On manifolds whose tangent bundle contains an ample subbundle.

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