Aaron Bertram : Determinantal Line Bundles and Stability Conditions on P^2

Posted by , part of the Algebraic Geometry Seminar.

At

Oct. 5, 2011, 4 p.m.

In

SEO 427

Abstract

Moduli spaces of Bridgeland-stable complexes on P^2 are projective. We know this because they are moduli of representations of the quiver associated to P^2. On the other hand, we don't know much about projectivity of moduli for other surfaces. In this talk I want to pursue an idea of Faltings (from the curve setting) of using the determinantal line bundle on moduli to prove projectivity without geometric invariant theory.