Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics

DOI10.1007/S00209-023-03252-3arXiv2202.06603WikidataQ122643247 ScholiaQ122643247MaRDI QIDQ6391041

Yuta Watanabe

Publication date: 14 February 2022

Abstract: We obtain the Bogomolov-Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi-positivity of singular Hermitian metrics with L2-estimates and prove the vanishing theorem which is a generalization of the Bogomolov-Sommese type vanishing theorem to holomorphic vector bundles.

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20) Multiplier ideals (14F18)

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