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.

Cited by in corpus (4)

• Projectivity and Birational Geometry of Bridgeland Moduli spaces on an Enriques Surface
• A Note on the existence of stable vector bundles on Enriques surfaces
• Moduli spaces of stable sheaves on Enriques surfaces
• The Kodaira dimension and singularities of moduli of stable sheaves on some elliptic surfaces