Stephen Scully

collaborators

2 papers

math.NT2016

A bound for the index of a quadratic form after scalar extension to the function field of a quadric

Stephen Scully

Let $q$ be an anisotropic quadratic form defined over a general field $F$ . In this article, we formulate a new upper bound for the isotropy index of $q$ after scalar extension to t…

math.KT2015

Milnor-Witt $K$ -groups of local rings

Stefan Gille, Stephen Scully, Changlong Zhong

We introduce Milnor-Witt $K$ -groups of local rings and show that the $n$ th Milnor-Witt $K$ -group of a local ring $R$ which contains an infinite field of characteristic not $2$ is t…

A bound for the index of a quadratic form after scalar extension to the function field of a quadric

Milnor-Witt K-groups of local rings

Milnor-Witt $K$ -groups of local rings