Multiplier ideal sheaves, complex singularity exponents, and restriction formula
Complex Variables
2015-10-27 v3 Algebraic Geometry
Abstract
In this article, we obtain two sharp equality conditions in the restriction formula on complex singularity exponents: an equality between the codimension of the zero variety of related multiplier ideal sheaves and the relative codimension of the restriction of the variety on the submanifold (in the restriction formula); an equivalence between the transversality (between the variety and the submanifold) and the regularity of the restriction of the variety. As applications, we present sharp equality conditions in the fundamental subadditivity property on complex singularity exponents.
Keywords
Cite
@article{arxiv.1510.03586,
title = {Multiplier ideal sheaves, complex singularity exponents, and restriction formula},
author = {Qi'an Guan},
journal= {arXiv preprint arXiv:1510.03586},
year = {2015}
}
Comments
10 pages, assumptions are added in Proposition 1.7 and 1.8 (Theorem 1.7 and 1.8 in v2)