English

Theory of non-lc ideal sheaves -basic properties-

Algebraic Geometry 2015-01-14 v5

Abstract

We introduce the notion of non-lc ideal sheaves. It is an analogue of the notion of multiplier ideal sheaves. We establish the restriction theorem, which seems to be the most important property of non-lc ideal sheaves.

Cite

@article{arxiv.0801.2198,
  title  = {Theory of non-lc ideal sheaves -basic properties-},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:0801.2198},
  year   = {2015}
}

Comments

21 pages; v2: mistakes were corrected, v3: the proof of the main theorem was revised, v4: minor modifications, v5: minor revision following referee's comments

R2 v1 2026-06-21T10:02:54.840Z