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

2013/03/08 by Grégoire Menet, Menet, Grégoire
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1303.1945

18 pages, final version to appear in Mathematische Zeitschrift

arxiv created 2014/01/01 · arxiv updated 2014/01/03

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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