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

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Abstract.

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.

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  1. Institut für Mathematik, Universität Hannover, Postfach, 6009, 30060, Hannover, Germany

    Michael Friedland

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  1. Michael Friedland
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Correspondence to Michael Friedland.

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Send offprint requests to: M. Friedland, Bockeroder Weg 4a, 31832 Springe, Germany.

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Friedland, M. An extension of the level-2 paramodular group, and the Barth-Nieto quintic. manuscripta math. 112, 21–27 (2003). https://doi.org/10.1007/s00229-003-0385-1

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  • DOI: https://doi.org/10.1007/s00229-003-0385-1

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