English

A remark on Kov\'acs' vanishing theorem

Algebraic Geometry 2015-01-14 v1

Abstract

We give an alternative proof of Kov\'acs' vanishing theorem. Our proof is based on the standard arguments of the minimal model theory. We do not need the notion of Du Bois pairs. We reduce Kov\'acs' vanishing theorem to the well-known relative Kawamata--Viehweg--Nadel vanishing theorem.

Keywords

Cite

@article{arxiv.1202.4201,
  title  = {A remark on Kov\'acs' vanishing theorem},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:1202.4201},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-21T20:21:51.088Z