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1 results

  • The Moduli Space of (1,11)-Polarized Abelian Surfaces is Unirational

  • Mark Gross, Sorin Popescu
  • Journal:
    Compositio Mathematica / Volume 126 / Issue 1 / March 2001
    Published online by Cambridge University Press:
    04 December 2007, pp. 1-24
    Print publication:
    March 2001
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  • 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.