Positivity of the exterior power of the tangent bundles

DOI10.3792/pjaa.99.015arXiv2208.06735OpenAlexW4389092611MaRDI QIDQ6146738

Kiwamu Watanabe

Publication date: 15 January 2024

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06735

zbMATH Keywords

tangent bundleexterior powernef

Mathematics Subject Classification ID

Fano varieties (14J45) (n)-folds ((n>4)) (14J40) Rationally connected varieties (14M22)

Cites Work

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• Variétés kähleriennes dont la première classe de Chern est nulle
• Projective manifolds whose tangent bundles are numerically effective
• Projective manifolds with ample tangent bundles
• Compact Kähler manifolds of positive bisectional curvature
• Fano manifolds of coindex three admitting nef tangent bundle
• Strictly nef vector bundles and characterizations of \(\mathbb{P}^n\)
• Positivity of the second exterior power of the tangent bundles
• Positivity of the cotangent sheaf of singular Calabi-Yau varieties
• On projective varieties with strictly nef tangent bundles
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• A Vanishing Theorem
• A decomposition theorem for projective manifolds with nef anticanonical bundle

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