Mumford Compactification of Siegel Variety from the Viewpoint of K(a)hler-Einstein Metric

摘要：

　　This article is a survey on recent progress of the authors joint program with Professor S.-T.Yau.We study Mumford smooth toroidal compactifications of smooth Siegel varieties thoroughly from the viewpoint of K(a)hler-Einstein metric.We obtain a global volume form formula for an arbitrary Siegel variety.Ag,г(g > 1) with smooth toroidal compactification-Ag,г having normal crossing boundary divisor D∞ :=Ag,г Ag,r, we use this volume form formula to show that the logarithmical canonical bundle degenerate sharply even though it is big and numerically effective.

关键词： Moduli of Abelian varieties Siegel variety smooth toroidal compactification volume form

作者: Yi Zhang

作者单位: SCHOOL OF MATHEMATICAL SCIENCES, FUDAN UNIVERSITY SHANGHAI 200433, CHINA

会议类型: 国际会议

会议名称: The 6th International Congress of Chinese Mathematicians (第6届世界华人数学家大会)

会议地点: 台北

会议语种:英文

页码: 541-555

在线出版日期: 2013-07-14（万方平台首次上网日期，不代表论文的发表时间）