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math.NT2017
Equivariant Gauss sum of finite quadratic forms
Shouhei Ma
The classical quadratic Gauss sum can be thought of as an exponential sum attached to a quadratic form on a cyclic group. We introduce an equivariant version of Gauss sum for arbit…
math.AG2017★ 38 cited
On the Kodaira dimension of orthogonal modular varieties
Shouhei Ma
We prove that up to scaling there are only finitely many integral lattices L of signature (2,n) with n>20 or n=17 such that the modular variety defined by the orthogonal group of L…