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arXiv · 0910.3726

Multiplier ideal sheaves and geometric problems

Akito Futaki·Yuji Sano
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Abstract

In this expository article we first give an overview on multiplier ideal sheaves and geometric problems in Kählerian 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 Kähler-Einstein metrics on Fano manifolds.

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Akito Futaki, Yuji Sano. 2009-10-20. Multiplier ideal sheaves and geometric problems. https://arxiv.org/abs/0910.3726

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