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The Moduli Space of (1,11)-Polarized Abelian Surfaces is Unirational
Published online by Cambridge University Press: 04 December 2007
Abstract
We prove that the moduli space $\cal A$11lev of <$>(1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4. Therefore, $\cal A$11lev is unirational but not rational, and there are no Γ11-cusp forms of weight 3. The same methods also provide an easy proof of the rationality of $\cal A$9lev.
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- © 2001 Kluwer Academic Publishers
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