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arXiv · 2104.14047

Grauert-Riemenschneider multiplier ideal sheaves and the (optimal) Brian\c{c}on-Skoda number

Zhenqian Li
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Abstract

The goal of this note is to survey some recent results on the Grauert-Riemenschneider multiplier ideal sheaves on any (reduced) complex space of pure dimension. In particular, we obtain the Brian\c{c}on-Skoda number for any Noetherian ring of weakly holomorphic functions with weakly rational singularities (\emph{not} essentially of finite type over $\mathbb{C}$ and Cohen-Macaulay local rings), which will partially answer a question of Huneke.

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Zhenqian Li. 2021-04-28. Grauert-Riemenschneider multiplier ideal sheaves and the (optimal) Brian\c{c}on-Skoda number. https://arxiv.org/abs/2104.14047

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