Singularities and Kodaira dimension of moduli scheme of stable sheaves on Enriques surfaces
Abstract
Let M be a moduli scheme of stable sheaves with fixed Chern classes on an Enriques surface or a hyper-elliptic surface. If its expected dimension is 7 or more, then M admits only canonical singularities. Moreover, if M is compact, then its Kodaira dimension is zero.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.7229
- arXiv:
- arXiv:1411.7229
- Bibcode:
- 2014arXiv1411.7229Y
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J60;
- 14B05;
- 14D20;
- 14Exx
- E-Print:
- Kyoto Journal of Mathematics 53 (2013), no. 1, 145--153