arithmetic variety
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:
{{math theorem|name=Kazhdan's theorem|note=|style=|math_statement=
If X is an arithmetic variety, then, for all automorphisms σ of the complex numbers, σX is also an arithmetic variety.{{cite journal
| title=On arithmetic varieties II
| first1=David | last1=Kazhdan | authorlink1=David Kazhdan
| journal=Israel Journal of Mathematics
| volume=44
| year=1983
| issue=2
| pages=139–159
| doi=10.1007/BF02760617 | doi-access=free}}
}}
References
{{reflist}}
Further reading
- {{cite book | first1=Yu. I. | last1=Manin | authorlink1=Yuri I. Manin | first2=A. A. | last2=Panchishkin | title=Introduction to Modern Number Theory | series=Encyclopaedia of Mathematical Sciences | volume=49 | edition=Second | year=2007 | isbn=978-3-540-20364-3 | issn=0938-0396 | zbl=1079.11002 }}