Jack Huizenga : Ample divisors on moduli spaces of sheaves on the plane

Posted by Jack Huizenga , part of the Algebraic Geometry Seminar.

At

Sept. 3, 2014, 4 p.m.

In

SEO 427

Abstract

Let $v$ be the set of numerical invariants of a sheaf on $\mathbb{P}^2$. The moduli space $M(v)$ parameterizes isomorphism classes of semistable sheaves with Chern character $v$. In this talk, I will discuss recent work with Izzet Coskun computing the cone of ample divisors on $M(v)$ for many choices of the character $v$. Our results in particular cover the case where the rank and first Chern class of $v$ are coprime and the discriminant of $v$ is sufficiently large.