Relative compactified Jacobians of linear systems on Enriques surfaces

Abstract

We study certain moduli spaces of sheaves on Enriques surfaces thereby obtaining, in every odd dimension, new examples of Calabi-Yau manifolds. We describe the geometry (canonical bundle, fundamental group, second Betti number and certain Hodge numbers) of these moduli spaces showing, in partial analogy to the well-known case of sheaves on K3 or Abelian surfaces, how the geometry of the surface reflects that of the moduli space itself.

48 pages. Final version to appear in TAMS. Many revisions and a correction in the proof of Theorem 3.1

References in corpus (2)

• Antisymplectic involutions of holomorphic symplectic manifolds
• Subvarieties of moduli spaces of sheaves via finite coverings

Cited by in corpus (6)

• A Note on the existence of stable vector bundles on Enriques surfaces
• Moduli spaces of stable sheaves on Enriques surfaces
• Subvarieties of moduli spaces of sheaves via finite coverings
• MMP Via Wall-crossing for Moduli Spaces of Stable Sheaves on an Enriques surface
• A note on stable sheaves on Enriques surfaces II
• A hyper-Kähler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold