English

On the derived category of the Hilbert scheme of points on an Enriques surface

Algebraic Geometry 2014-04-09 v1

Abstract

We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi-Yau varieties which cover them. While doing this, we show that the derived category of a surface whose irregularity and geometric genus vanish embeds into the derived category of its Hilbert scheme of points.

Keywords

Cite

@article{arxiv.1404.2105,
  title  = {On the derived category of the Hilbert scheme of points on an Enriques surface},
  author = {Andreas Krug and Pawel Sosna},
  journal= {arXiv preprint arXiv:1404.2105},
  year   = {2014}
}

Comments

22 pages, comments welcome