Arithmetic Variety
From Handwiki 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
- ↑ "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
- Arithmetic Chow groups
- Arithmetic of abelian varieties
- Abelian variety
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Categories: [Arithmetic geometry]
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