Nonexistence of decreasing equisingular approximations with logarithmic poles
Complex Variables
2015-06-23 v2 Algebraic Geometry
Abstract
In this article, we present that for any complex manifold whose dimension is bigger than one, there exists a multiplier ideal sheaf such that there don't exist equisingular weights with logarithmic poles, which are not smaller than the orginal weight. A direct consequence is the nonexistence of decreasing equisingular approximations with logarithmic poles.
Cite
@article{arxiv.1506.04581,
title = {Nonexistence of decreasing equisingular approximations with logarithmic poles},
author = {Qi'an Guan},
journal= {arXiv preprint arXiv:1506.04581},
year = {2015}
}
Comments
5 pages, 0 figures. In this version, we consider Question 1.1 on compact Hermitian manifolds, and promote the main result to general complex manifolds (compact and noncompact)