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
References
- Kazhdan, David (1983). "On arithmetic varieties II". Israel Journal of Mathematics. 44 (2): 139–159. doi:10.1007/BF02760617.
Further reading
Further reading
- Manin, Yu. I.; Panchishkin, A. A. (2007). Introduction to Modern Number Theory. Encyclopaedia of Mathematical Sciences. Vol. 49 (Second ed.). ISBN 978-3-540-20364-3. ISSN 0938-0396. Zbl 1079.11002.