In mathematics, an arithmetic variety is the quotient space of a Hermitian symmetric space by an arithmetic subgroup of the associated algebraic Lie group.
Kazhdan's theorem says the following:
Kazhdan's theorem — If X is an arithmetic variety, then, for all automorphisms σ of the complex numbers, σX is also an arithmetic variety.[1]
Original source: https://en.wikipedia.org/wiki/Arithmetic variety.
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