Multiplier ideal sheaves in complex and algebraic geometry
摘要
This article discusses the geometric application of the method of multiplier ideal sheaves. It first briefly describes its application to effective problems in algebraic geometry and then presents and explains its application to the deformational invariance of plurigenera for general compact algebraic manifolds. 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
@article{arxiv.math/0504259,
title = {Multiplier ideal sheaves in complex and algebraic geometry},
author = {Yum-Tong Siu},
journal= {arXiv preprint arXiv:math/0504259},
year = {2015}
}
备注
This article is an expanded version of a talk given on August 23, 2004 in the International Conference on Several Complex Variables in Capital Normal University, Beijing, China and will appear in "Science in China," Series A Mathematics 2005 Volume 48, as part of the proceedings of the conference