MATH Seminar

Title: Vector bundles and finite covers
Seminar: Algebra
Speaker: Anand Deopurkar of University of Georgia
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2017-01-31 at 4:00PM
Venue: W306
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Abstract:
Let Y be a variety. A finite cover $X \to Y$ of Y gives a natural vector bundle on Y, namely the direct image of the structure sheaf of X. Which vector bundles on Y arise in this way? I will present an answer to an asymptotic version of this question when Y is a curve, generalizing previous results of Ballico and Kanev, and answering a question of Lazarsfeld. This is joint work with Anand Patel.

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