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Defining equations of the universal abelian surfaces with level three structure
Authors:Keiichi Gunji
Affiliation:(1) Graduate School of Mathematical Science, The University of Tokyo, 3-8-1 Komaba, Meguro-ku Tokyo, 153-8914, Japan
Abstract:In this paper we write down the defining equations of abelian surface with level three structures explicitly, and we see that their coefficients are given by Siegel modular forms of level three with some characters.
Keywords:Abelian varieties  Siegel modular forms  Theta functions
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