On arithmetic varieties II

On arithmetic varieties II
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论算术品种 II

DOI:
10.1007/bf02760617
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发表时间:
1983
影响因子:
1
通讯作者:
D. Kazhdan
D. Kazhdan
中科院分区:
数学2区
文献类型:
--
作者:
D. Kazhdan

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算术簇是具有复杂结构的对称空间的商空间,它由相应的代数李群的算术子群构成。证明了由算术簇通过对应于任意自同构的基变换得到的簇也是算术簇。
An arithmetic variety is the quotient space of a symmetric space with complex structure by an arithmetic subgroup of the associated algebraic Lie group. It is shown that the variety obtained from an arithmetic variety by a base change corresponding to any automorphism ofC is again an arithmetic variety.