$p$-adic Zeros of Systems of Quadratic Forms

Abstract

This survey describes work on the number of variables required to ensure that a system of r quadratic forms over the p-adics has a non-trivial common zero.

References in corpus (1)

• Zeros of p-adic forms

Cited by in corpus (5)

• Period-index and u-invariant questions for function fields over complete discretely valued fields
• Pairs of quadrics in 11 variables
• Division Algebras and Quadratic Forms over Fraction Fields of Two-dimensional Henselian Domains
• Linkage of Pfister forms over semi-global fields
• Rational Points on the Intersection of Three Quadrics