Stephen Scully

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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…

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