Local-global principles for representations of quadratic forms
Local-global principles for representations of quadratic forms
复制标题
二次形式表示的局部全局原理
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Akshay Venkatesh
中科院分区：
文献类型：
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作者：
J. Ellenberg;Akshay Venkatesh
本文证明了余维≥5的环上二次型表示二次型问题的局部-整体原理。证明使用遍历理论的p-adic组，连同一个相当普遍的观察结构的轨道的算术组作用于积分点的品种。
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.