Singularities on normal varieties

被引：53

作者：

de Fernex, Tommaso ^{[1
]}

Hacon, Christopher D. ^{[1
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

COMPOSITIO MATHEMATICA | 2009年 / 145卷 / 02期

基金：

美国国家科学基金会;

关键词：

divisorial valuation; relative canonical divisor; singularities of pairs; multiplier ideals; POSITIVE SCALAR CURVATURE; MULTIPLIER IDEAL SHEAVES; KAHLER-EINSTEIN METRICS; TIGHT CLOSURE; CANONICAL SINGULARITIES; ALGEBRAIC VARIETY; RESOLUTION; FIELD;

D O I：

10.1112/S0010437X09003996

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we generalize the definitions of singularities of pairs and multiplier ideal sheaves to pairs on arbitrary normal varieties, without any assumption on the variety being Q-Gorenstein or the pair being log Q-Gorenstein. The main features of the theory extend to this setting in a natural way.

引用

页码：393 / 414

页数：22

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