Geometry and Topology Seminar: Geography of complex varieties: Severi inequality
9 March 2017 13:00 in CM221
The classical Severi inequality for complex surfaces dates back to a paper of Severi himself in 1932, in which a gap was found afterwards. In 2005, Pardini gave a complete proof of this inequality based on a clever covering trick and the slope inequality of Xiao. In 2009, Mendes Lopes and Pardini proposed a question about generalizing this inequality to arbitrary dimension. In this talk, I will first introduce the classical Severi inequality and explain the above two ingredients in Pardini's proof. Then I will introduce the generalized Severi inequality which answers the aforementioned open question.
This talk may be viewed as a continuation of the previous one I gave in the same seminar two years ago.