Wednesday January 29th, 2020 | |
Time: | 4:00 PM - 5:30 PM |
Title: | Continuous families of divisors on symmetric powers of curves |
Speaker: | John Sheridan, Stony Brook University |
Abstract: | |
For $X$ a smooth projective variety, we consider its set of effective divisors in a fixed cohomology class. This set naturally forms a projective scheme and if $X$ is a curve, this scheme is a smooth, irreducible variety (fibered in linear systems over the Picard variety). However, when $X$ is of higher dimension, this scheme can be singular and reducible. We study its structure explicitly when $X$ is a symmetric power of a curve. |