Multiplier ideal sheaves in complex and algebraic geometry

被引：4
作者：
Yum-Tong Siu
机构：
[1] USA
[2] Cambridge
[3] Department of Mathematics Harvard University
[4] MA 02138
来源：
Science China Mathematics | 2005年 / S1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：
暂无
中图分类号：
O153.5 [泛代数];
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 invari-ance 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.
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页码：1 / 31
页数：31
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