arXiv Analytics

Sign in

arXiv:math/0211208 [math.AG]AbstractReferencesReviewsResources

A discrete extension of Γ_{1,p}^{\circ}(2) in SP(4,R) and the modular form of the Barth-Nieto quintic

Michael Friedland

Published 2002-11-13Version 1

We construct a maximal discrete extension of the paramodular group with a full level-2 structure. The corresponding Siegel 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.

Comments: 8 pages, Latex2e
Categories: math.AG
Related articles: Most relevant | Search more
arXiv:math/9806011 [math.AG] (Published 1998-06-03)
The Modular Form of the Barth-Nieto Quintic
arXiv:1106.3890 [math.AG] (Published 2011-06-20, updated 2016-12-29)
Bundles of generalized theta functions over abelian surfaces
arXiv:math/0212314 [math.AG] (Published 2002-12-23)
Indecomposable K_1 and the Hodge-D-conjecture for K3 and Abelian Surfaces

Links

Toolbox