Singularities of moduli spaces of sheaves on K3 surfaces and Nakajima quiver varieties
Name
Sacca_Singularities of moduli.pdf
Description
Submitted version
Size
455.36 KB
Format
Adobe PDF
Checksum (MD5)
1aa27b1383048cd74e01d43582a9d7c6
Author(s)
Arbarello, E
Saccà, G
Date Issued
2018
Journal
Advances in Mathematics
Publisher
Elsevier BV
Version
Original manuscript
Abstract
© 2018 Elsevier Inc. The aim of this paper is to study the singularities of certain moduli spaces of sheaves on K3 surfaces by means of Nakajima quiver varieties. The singularities in question arise from the choice of a non-generic polarization, with respect to which we consider stability, and admit natural symplectic resolutions corresponding to choices of general polarizations. For sheaves that are pure of dimension one, we show that these moduli spaces are, locally around a singular point, isomorphic to a quiver variety and that, via this isomorphism, the natural symplectic resolutions correspond to variations of GIT quotients of the quiver variety.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2018.02.003
