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The moduli space of bilevel-6 Abelian surfaces. (English) Zbl 1041.11034

The authors consider a suitable covering of the moduli space of abelian surfaces with a polarization (1,6) that has positive Kodaira dimension. They use previous results of Gritsenko and Nikulin, proving the existence of cusp forms of weight 3 with character for the paramodular group. These forms were obtained as lifts of Jacobi forms. The authors prove that introducing a bilevel structure the characters become trivial. They also compute the divisor associated to the differential forms

MSC:

11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
14K10 Algebraic moduli of abelian varieties, classification
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References:

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