English

Smooth components on special iterated Hilbert schemes

Algebraic Geometry 2022-05-27 v2

Abstract

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

Keywords

Cite

@article{arxiv.2109.01112,
  title  = {Smooth components on special iterated Hilbert schemes},
  author = {Fabian Reede},
  journal= {arXiv preprint arXiv:2109.01112},
  year   = {2022}
}

Comments

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