Resumen de An extension of the level-2 paramodular group, and the Barth-Nieto quintic

Michael Friedland

• In this note we construct a maximal discrete extension of Γˆ 1,p (2), the paramodular group with a full level-2 structure. The corresponding Siegel modular variety parametrizes (birationally) the space of Kummer surfaces associated to (1, p)-polarized abelian surfaces with a level-2 structure. In the case p=3 this is related to the Barth-Nieto quintic and in this case we also determine the space of cusp forms of weight 3.