Zeros of systems of p-adic quadratic forms

Zeros of systems of p-adic quadratic forms

We show that a system of r quadratic forms over a -adic field in at least 4r+1 variables will have a non-trivial zero as soon as the cardinality of the residue field is large enough. In contrast, the Ax-Kochen theorem [J. Ax and S. Kochen, Diophantine problems over local fields. I, Amer.J.Math.87 (1...

Bibliográfalaš dieđut
Váldodahkki:	Heath-Brown, D
Materiálatiipa:	Journal article
Giella:	English
Almmustuhtton:	2010

Geahča maid

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