Local-global principles for representations of quadratic forms

被引：0
|
作者：
Jordan S. Ellenberg
Akshay Venkatesh
机构：
[1] University of Wisconsin,Department of Mathematics
[2] New York University,Courant Institute of Mathematical Sciences
来源：
Inventiones mathematicae | 2008年 / 171卷
关键词：
Quadratic Form; Spin Group; Quadratic Space; Open Compact Subgroup; Hasse Principle;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove a local-global principle for the problem of representations of quadratic forms by quadratic forms over ℤ, in codimension ≥5. The proof uses the ergodic theory of p-adic groups, together with a fairly general observation on the structure of orbits of an arithmetic group acting on integral points of a variety.
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页码：257 / 279
页数：22
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