Generic vanishing and the birational geometry of irregular varieties
Lecture 1 Christopher HACON
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 that01.png. 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 02.png where03.pngis a variety of maximal Albanese dimension (eg. an abelian variety).
Details
- Year/Term
- 2016 / Intensive, First semester
- Date
- June 17th to July 1st, 2016
- Faculty/
Graduate School - Graduate School of Science
- Language
- English
- Instructor name
- Christopher HACON(Distinguished Visiting Professor, Kyoto University / Distinguished Professor, University of Utah)
- Place
- Room 127, Graduate School of Science Bldg No 3
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