On the derived category of the Hilbert scheme of points on an Enriques surface
arXiv:1404.2105
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.
arXiv comment22 pages, comments welcome
References in corpus (9)
- Semiorthogonal decomposition for algebraic varieties
- New derived symmetries of some hyperkähler varieties
- Determinantal Barlow surfaces and phantom categories
- On adjunctions for Fourier-Mukai transforms
- Categories of Massless D-Branes and del Pezzo Surfaces
- Derived autoequivalences of generalised Kummer varieties
- Fourier-Mukai transforms for quotient varieties
- New derived autoequivalences of Hilbert schemes and generalised Kummer varieties
- Extension groups of tautological sheaves on Hilbert schemes