m at h . A G ] 1 7 N ov 2 00 5 Modular forms for the even unimodular lattice of signature ( 2 , 10 )
نویسندگان
چکیده
More than forty years ago, Igusa proved in [Ig] a “Fundamental Lemma”, according to which, theta constants give an explicit generically injective map from some modular varieties related to the symplectic group Sp(n, R) into the projective space. The embedded varieties satisfy some quartic relations, the so called Riemann’s relations. We expect that similar results hold for orthogonal instead of symplectic groups, where one should use typical “orthogonal constructions” instead of theta series.
منابع مشابه
Modular forms for the even unimodular lattice of signature (2,10)
More than forty years ago, Igusa proved in [Ig] a “Fundamental Lemma”, according to which, theta constants give an explicit generically injective map from some modular varieties related to the symplectic group Sp(n,R) into a projective space. The embedded varieties satisfy some quartic relations, the so called Riemann’s relations. We expect that similar results hold for orthogonal instead of sy...
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