Multiplier ideal sheaves in complex and algebraic geometry

被引：54

作者：

Siu, YT ^{[1
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / Suppl 1期

关键词：

algebraic geometry; multiplier ideal sheaf; effective problem; invariance of plurigenera; canonical ring; minimal model; complex Monge-Ampere equation; complex Neumann estimate; weakly pseudoconvex domain;

D O I：

10.1007/BF02884693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The application of the method of multiplier ideal sheaves to effective problems in algebraic geometry is briefly discussed. Then its application to the deformational invariance of plurigenera for general compact algebraic manifolds is presented and discussed. Finally its application to the conjecture of the finite generation of the canonical ring is explored, and the use of complex algebraic geometry in complex Neumann estimates is discussed.

引用

页码：1 / 31

页数：31

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[1] EFFECTIVE FREENESS AND POINT SEPARATION FOR ADJOINT BUNDLES [J].