Generic vanishing and the birational geometry of irregular varieties

開催日時: 
2016/06/17 Fri 14:00 - 16:30
2016/06/22 Wed 10:00 - 12:00
2016/06/24 Fri 14:00 - 16:30
2016/06/29 Wed 10:00 - 12:00
2016/07/01 Fri 14:00 - 16:30
場所: 
3号館127大会議室
講演者: 
Christopher Hacon
講演者所属: 
Kyoto University / University of Utah
概要: 

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 $H^0(\Omega ^1_X)
¥ne 0$. 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 $f:X¥to Y$ where $Y$ is a variety of maximal Albanese dimension (eg. an abelian variety).

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