Matteini, Tommaso2014-04-242014-04-242014-03-21https://openscience.sissa.it/handle/1963/7313This preprint is composed of 26 pagesA 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.enPreprintIrreducible symplectic variety, Lagrangian fibration, Prym variety, automorphism of symplectic varietiesMAT/03 GEOMETRIA