Back to Algebraic Geometry Seminar: Spring 2016
Algebraic Geometry Seminar
Date: Tuesday, Apr 19, 2016
Time: 3:30PM - 4:30PM
Location: JFB 102
Yuan Wang
University of Utah
Title |
Generic Vanishing and Classification of Irregular Surfaces in Positive Characteristics |
Abstract |
The Enriques-Kodaira classification of surfaces is one of the most celebrated accomplishments toward understanding algebraic varieties. A detailed classification of surfaces of general type, however, seems to be very difficult. Several cases of this kind are known in characteristic 0. In my talk I would like to present a classification result for surfaces of general type in positive characteristics, and in particular we work on surfaces with Euler characteristic 1 and Albanese dimension 4. This project is inspired by a paper of Hacon and Pardini but contains a lot of new ideas, including the construction of a generic vanishing theorem for surfaces that lift to W_2(k), the second Witt vectors. |
Algebraic Geometry