Multiplier ideal sheaves and geometric problems

Details Multiplier ideal sheaves and geometric problems Multiplier ideal sheaves and geometric problems

2009-10-20

arxiv.org/abs/0910.3726v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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.

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