English

Relative Bertini type theorem for multiplier ideal sheaves

Algebraic Geometry 2018-02-20 v3

Abstract

We establish a relative Bertini type theorem for multiplier ideal sheaves. Then we prove a relative version of the Koll\'ar--Nadel type vanishing theorem as an application.

Keywords

Cite

@article{arxiv.1709.01406,
  title  = {Relative Bertini type theorem for multiplier ideal sheaves},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:1709.01406},
  year   = {2018}
}

Comments

17 pages, v2: many mistakes were corrected, v3: very minor corrections

R2 v1 2026-06-22T21:33:36.320Z