Multiplier ideal sheaves in complex and algebraic geometry

作     者：Yum-Tong Siu 

作者机构：Department of Mathematics Harvard UniversityCambridgeMA 02138USA 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2005年第48卷第Z1期

页      面：1-31页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by a grant from the National Science Foundation 

主　　题：algebraic geometry, multiplier ideal sheaf, effective problem, invariance of plurigenera, canonical ring, minimal model, complex Monge-Ampere equation, complex Neumann estimate, weakly pseudoconvexdomain. 

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 *** 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.