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The m-Invariant of Fields of Characteristic 2
Abstract
We study the minimal dimension of a nonsingular anisotropic universal quadratic form over a field F of char(F)=2, which we call the ``m-invariant" of F. We show that every even number is the m-invariant of some field of characteristic 2, and consider cases when u(F) and m(F) are equal and when they are not.
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BibTeX
@misc{chapman2026minvariant,
title = {{The $m$-Invariant of Fields of Characteristic 2}},
author = {Adam Chapman and Kelly McKinnie},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30502},
eprint = {2609.30502},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30502},
}
RIS
TY - UNPB
TI - The m-Invariant of Fields of Characteristic 2
AU - Adam Chapman
AU - Kelly McKinnie
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30502
UR - https://arxiv.org/abs/2609.30502
AB - We study the minimal dimension of a nonsingular anisotropic universal quadratic form over a field F of char(F)=2, which we call the ``m-invariant" of F. We show that every even number is the m-invariant of some field of characteristic 2, and consider cases when u(F) and m(F) are equal and when they are not.
ER -