Birational geometry of moduli spaces of stable objects on Enriques surfaces
Algebraic Geometry
2020-01-28 v2
Abstract
Using wall-crossing for K3 surfaces, we establish birational equivalence of moduli spaces of stable objects on generic Enriques surfaces for different stability conditions. As an application, we prove in the case of a Mukai vector of odd rank that they are birational to Hilbert schemes. The argument makes use of a new Chow-theoretic result, showing that moduli spaces on an Enriques surface give rise to constant cycle subvarieties of the moduli spaces of the covering K3.
Keywords
Cite
@article{arxiv.1810.02165,
title = {Birational geometry of moduli spaces of stable objects on Enriques surfaces},
author = {Thorsten Beckmann},
journal= {arXiv preprint arXiv:1810.02165},
year = {2020}
}
Comments
v2: Added suggestions from referees, in particular more details in Chapter 4, and relation to other work; 20 pages