An irreducible symplectic orbifold of dimension 6 with a Lagrangian Prym fibration
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Date
2014-03-21
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Publisher
arXiV
Abstract
A new example of an irreducible symplectic variety of dimension 6, with only
finite quotient singularities, is described as a relative compactified Prymian
of a family of genus 4 curves with involution. It is associated to a K3 surface
which is a double cover of a cubic surface. It has a natural Lagrangian
fibration in abelian 3-folds with polarization type (1,1,2). It does not admit
any symplectic resolution.
Description
This preprint is composed of 26 pages