曹锡华代数论坛

报告人：Steven Lu教授 （魁北克大学蒙特利尔分校）

时间：2011年5月4日(周三)下午15:00-16:00

地点：闵行校区数学楼102报告厅

一般型非正则簇的特殊子簇

Special subvarieties of irregular varieties of general type

Abstract

Special varieties are generalizations to higher dimensions of the curves C,CP^1, C^* and elliptic curves. We will bound the family of special subbvarieties of a variety with maximal Albanese dimension (a variety characterized by generically finite quasi-Albanese map) in terms of the positive part of the log-canonical polarization of the variety. This verifies, for such a variety, a conjecture of Lang on the algebraic pseudo-hyperbolicity of varieties of log general type. In particular, for quasiprojective surfaces of log general type and log irregularity two or more, we obtain the finiteness of special curves (such a curve is one whose normalization is CP^1 minus at most two points or an elliptic curve) in such a variety.