Stephen Scully

activity

20122017

collaborators

3 papers

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…

math.RA2012

On the splitting of quasilinear $p$ -forms

Stephen Scully

We study the splitting behaviour of quasilinear $p$ -forms in the spirit of the theory of nondegenerate quadratic forms over fields of characteristic different from 2 using an analo…

Quasilinear quadratic forms and function fields of quadrics

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

On the splitting of quasilinear p-forms

On the splitting of quasilinear $p$ -forms