Local-global principles for representations of quadratic forms
Number Theory
2009-11-11 v2
Abstract
We prove the local-global principle holds for the problem of representations of quadratic forms by quadratic forms, in codimension . The proof uses the ergodic theory of -adic groups, together with a fairly general observation on the structure of orbits of an arithmetic group acting on integral points of a variety.
Cite
@article{arxiv.math/0604232,
title = {Local-global principles for representations of quadratic forms},
author = {Jordan Ellenberg and Akshay Venkatesh},
journal= {arXiv preprint arXiv:math/0604232},
year = {2009}
}
Comments
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