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A singular symplectic variety of dimension 6 with a Lagrangian Prym fibration

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Abstract

A projective symplectic variety \({\mathcal{P}}\) of dimension 6, with only finite quotient singularities, \({\pi(\mathcal{P})=0}\) and \({h^{(2,0)}(\mathcal{P}_{smooth})=1}\), is described as a relative compactified Prym variety of a family of genus 4 curves with involution. It is a Lagrangian fibration associated to a K3 surface double cover of a generic cubic surface. It has no symplectic desingularization.

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  1. IRMA - Université de Strasbourg, 7 rue René Descartes, 67000, Strasbourg, France

    Tommaso Matteini

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  1. Tommaso Matteini
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Correspondence to Tommaso Matteini.

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Matteini, T. A singular symplectic variety of dimension 6 with a Lagrangian Prym fibration. manuscripta math. 149, 131–151 (2016). https://doi.org/10.1007/s00229-015-0777-z

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  • DOI: https://doi.org/10.1007/s00229-015-0777-z

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