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arXiv · 1303.1945

Duality for relative Prymians associated to K3 double covers of del Pezzo surface of degree 2

Grégoire Menet
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Abstract

Markushevich and Tikhomirov provided a construction of an irreducible symplectic V-manifold of dimension 4, the relative compactified Prym variety of a family of curves with involution, which is a Lagrangian fibration with polarization of type (1,2). We give a characterization of the dual Lagrangian fibration. We also identify the moduli space of Lagrangian fibrations of this type and show that the duality defines a rational involution on it.

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Grégoire Menet. 2013-03-08. Duality for relative Prymians associated to K3 double covers of del Pezzo surface of degree 2. https://arxiv.org/abs/1303.1945

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