Eric Riedl : Normal bundles of rational curves in projective space

Posted by Eric Riedl , part of the Algebraic Geometry Seminar.

At

Feb. 15, 2017, 4 p.m.

In

SEO 427

Abstract

Given a rational curve C in projective space, the normal bundle is an object that controls the deformations of C. Given a fixed vector bundle E, one can ask: What is the moduli space of rational curves with normal bundle E? Eisenbud and Van de Ven conjectured that these spaces are irreducible, but in joint work with Coskun, I show that this is not the case as soon as the dimension of projective space is at least 5.