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現在位置: ホーム ja KTGU Special Lecture Generic vanishing and the birational geometry of irregular varieties

06 - Generic vanishing and the birational geometry of irregular varieties, 2016

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KTGU Special Lectures

Generic vanishing and the birational geometry of irregular varieties

Christopher Hacon
Kyoto University / Distinguished Visiting Professor
University of Utah / Distinguished Professor

Feb. 25, Mar. 4 and 8, 2016
Room127, Graduate School of Science Bldg No 3

Lecture Video

Course Description

In these lectures we will survey the generic vanishing results of Green, Lazarfeld, Hacon, Popa, Pareschi and others and discuss their applications to the study of the birational geometry of irregular varieties i.e. smooth projective varieties such that H0(Ω1X)¥ne0. In particular we will discuss results concerning the cohomological characterization of abelian varieties, the singularities of divisors on abelian varieties, the pluricanonical maps of irregular varieties and a recent result of Cao-Paun which proves the Iitaka conjecture for fiber spaces f:X¥toY where Y is a variety of maximal Albanese dimension (eg. an abelian variety).