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- W4386494447 abstract "We study anisotropic universal quadratic forms over semi-global fields; i.e., over one-variable function fields over complete discretely valued fields. In particular, given a semi-global field $F$, we compute both the $m$-invariant of $F$ and the set of dimensions of anisotropic universal quadratic forms over $F$. We also define the strong $m$-invariant of a field $k$ and show that it behaves analogously to the strong $u$-invariant of $k$, defined by Harbater, Hartmann, and Krashen. Our main tool in this study is the local-global principle for isotropy of quadratic forms over a semi-global field with respect to particular sets of overfields." @default.
- W4386494447 created "2023-09-07" @default.
- W4386494447 creator A5063198239 @default.
- W4386494447 date "2023-09-01" @default.
- W4386494447 modified "2023-09-27" @default.
- W4386494447 title "Universal quadratic forms over semi-global fields" @default.
- W4386494447 doi "https://doi.org/10.48550/arxiv.2309.00689" @default.
- W4386494447 hasPublicationYear "2023" @default.
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