Steenbrink vanishing theorem for big line bundles

Yuta Watanabe

Steenbrink vanishing theorem for big line bundles

Complex Variables 2026-08-02 v1

Authors: Yuta Watanabe

Abstract

In this paper, we generalize the Steenbrink vanishing theorem for ample line bundles on complex projective varieties by extending it to big line bundles on compact complex spaces with multiplier ideal sheaves.

Keywords

Steenbrink vanishing theorem big line bundles multiplier ideal sheaves complex projective varieties compact complex spaces

Cite

@article{arxiv.2608.01519,
  title  = {Steenbrink vanishing theorem for big line bundles},
  author = {Yuta Watanabe},
  journal= {arXiv preprint arXiv:2608.01519},
  year   = {2026}
}

Comments

16 pages