Smooth components on special iterated Hilbert schemes

Abstract

Let $S$ be a smooth projective surface with $p_g=q=0$. We show how to use derived categorical methods to study the geometry of certain special iterated Hilbert schemes associated to $S$ by showing that they contain a smooth connected component isomorphic to $S$.

5 pages. Comments welcome. Final version: new title and relation to Murphy's law removed. Minor improvements incorporated according to referee's suggestions

References in corpus (1)

• Derived categories of (nested) Hilbert schemes