Stephen Scully

collaborators

3 papers

math.AG2025

Rationality of cycles modulo 2 on products of generically smooth quadrics in characteristic 2

Stephen Scully, Guangzhao Zhu

A 2022 result of Karpenko establishes a conjecture of Hoffmann-Totaro on the possible values of the first higher isotropy index of an arbitrary anisotropic quadratic form of given…

math.RA2024

On the holes in $I^{n}$ for symmetric bilinear forms in characteristic 2

Stephen Scully

Let $F$ be a field. Following the resolution of Milnor's conjecture relating the graded Witt ring of $F$ to its mod-2 Milnor $K$ -theory, a major problem in the theory of symmetric…

math.RA2024

Extended Karpenko and Karpenko-Merkurjev theorems for quasilinear quadratic forms

Stephen Scully

Let $p$ and $q$ be anisotropic quasilinear quadratic forms over a field $F$ of characteristic $2$ , and let $i$ be the isotropy index of $q$ after scalar extension to the function f…

Rationality of cycles modulo 2 on products of generically smooth quadrics in characteristic 2

On the holes in In for symmetric bilinear forms in characteristic 2

Extended Karpenko and Karpenko-Merkurjev theorems for quasilinear quadratic forms

On the holes in $I^{n}$ for symmetric bilinear forms in characteristic 2