ON PROJECTIVE MANIFOLDS with PSEUDO-EFFECTIVE TANGENT BUNDLE

Genki Hosono, Masataka Iwai, Shin Ichi Matsumura

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this paper, we develop the theory of singular Hermitian metrics on vector bundles. As an application, we give a structure theorem of a projective manifold X with pseudo-effective tangent bundle; X admits a smooth fibration to a flat projective manifold Y such that its general fibre is rationally connected. Moreover, by applying this structure theorem, we classify all the minimal surfaces with pseudo-effective tangent bundle and study general nonminimal surfaces, which provide examples of (possibly singular) positively curved tangent bundles.

本文言語English
ジャーナルJournal of the Institute of Mathematics of Jussieu
DOI
出版ステータスAccepted/In press - 2021

ASJC Scopus subject areas

  • 数学 (全般)

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