Relative compactified Jacobians of linear systems on Enriques surfaces

Saccà, Giulia

doi:10.1090/tran/7591

Relative compactified Jacobians of linear systems on Enriques surfaces
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Trans. Amer. Math. Soc. 371 (2019), 7791-7843 Request permission

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.

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