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

作者：Menet Grgoire^*

来源：Mathematische Zeitschrift, 2014, 277(3-4): 893-907.

DOI：10.1007/s00209-014-1283-9

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.

• 出版日期2014-8