Stephen Scully

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20122017

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math.AC2017

Quasilinear quadratic forms and function fields of quadrics

Stephen Scully

Let $p$ and $q$ be anisotropic quadratic forms of dimension $\geq 2$ over a field $F$ . In a recent article, we formulated a conjecture describing the general constraints which the…

math.AC2016

The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields

Stephen Scully

Let $R$ be a commutative and unital semi-local ring in which 2 is invertible. In this note, we show that anisotropic quadratic spaces over $R$ remain anisotropic after base change…