Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics
Complex Variables
2022-08-30 v2
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.
Keywords
Cite
@article{arxiv.2202.06603,
title = {Bogomolov-Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics},
author = {Yuta Watanabe},
journal= {arXiv preprint arXiv:2202.06603},
year = {2022}
}
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24 pages