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arXiv · 2303.06485

A comparison of finiteness conditions in quadratic form theory

Karim Johannes Becher·Saurabh Gosavi
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Abstract

We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the $u$-invariant, the reduced stability index and the symbol lengths for Galois cohomology groups with coefficients in $\mu_2=\{+1,-1\}$, as well as a new invariant called the splitting height.

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Karim Johannes Becher, Saurabh Gosavi. 2023-03-11. A comparison of finiteness conditions in quadratic form theory. https://arxiv.org/abs/2303.06485

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