The effective cone of the moduli space of sheaves on the plane

Izzet Coskun, Jack Huizenga, Matthew Woolf

Published 2014-01-08Version 1

We compute the cone of effective divisors on any moduli space of semistable sheaves on the plane. The computation hinges on finding a good resolution of a general stable sheaf. This resolution is determined by Bridgeland stability and arises from a well-chosen Beilinson spectral sequence. The existence of a good choice of spectral sequence depends on remarkable number-theoretic properties of the slopes of exceptional bundles.