Multiplier ideal sheaves and geometric problems
Differential Geometry
2009-10-21 v1 Algebraic Geometry
Complex Variables
Abstract
In this expository article we first give an overview on multiplier ideal sheaves and geometric problems in K\"ahlerian and Sasakian geometries. Then we review our recent results on the relationship between the support of the subschemes cut out by multiplier ideal sheaves and the invariant whose non-vanishing obstructs the existence of K\"ahler-Einstein metrics on Fano manifolds.
Cite
@article{arxiv.0910.3726,
title = {Multiplier ideal sheaves and geometric problems},
author = {Akito Futaki and Yuji Sano},
journal= {arXiv preprint arXiv:0910.3726},
year = {2009}
}
Comments
20 pages