Arithmetic variety

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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

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]

References

  1. "On arithmetic varieties II". Israel Journal of Mathematics 44 (2): 139–159. 1983. doi:10.1007/BF02760617. 

Further reading

  • Manin, Yu. I.; Panchishkin, A. A. (2007). Introduction to Modern Number Theory. Encyclopaedia of Mathematical Sciences. 49 (Second ed.). ISBN 978-3-540-20364-3. 


See also





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