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

• Autores: Michael Friedland
• Localización: Manuscripta mathematica, ISSN 0025-2611, Nº 1, 2003, págs. 21-27
• Idioma: inglés
• DOI: 10.1007/s00229-003-0385-1
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• Resumen

  • 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.