English

Kodaira-Saito vanishing and applications

Algebraic Geometry 2016-03-03 v2

Abstract

The first part of the paper contains a detailed proof of M. Saito's generalization of the Kodaira vanishing theorem, following the original argument and with ample background, based on a lecture given at a Clay workshop on mixed Hodge modules. The second part contains some recent applications, and a Kawamata-Viehweg-type statement in the setting of mixed Hodge modules.

Keywords

Cite

@article{arxiv.1407.3294,
  title  = {Kodaira-Saito vanishing and applications},
  author = {Mihnea Popa},
  journal= {arXiv preprint arXiv:1407.3294},
  year   = {2016}
}

Comments

33 pages; final version, with expository improvements, updates, and substantial additions in the background sections

R2 v1 2026-06-22T05:02:24.126Z