Local-global principles for representations of quadratic forms

Details Local-global principles for representations of quadratic forms Local-global principles for representations of quadratic forms

2006-04-11

arxiv.org/abs/math/0604232v2

Mathematics

Number Theory

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Scientific paper

10.1007/s00222-007-0077-7

We prove the local-global principle holds for the problem of representations
of quadratic forms by quadratic forms, in codimension $\geq 7$. 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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