English

A comparison of finiteness conditions in quadratic form theory

Number Theory 2023-03-14 v1 K-Theory and Homology

Abstract

We discuss and relate finiteness conditions for certain field invariants which are studied in quadratic form theory. This includes the uu-invariant, the reduced stability index and the symbol lengths for Galois cohomology groups with coefficients in μ2={+1,1}\mu_2=\{+1,-1\}, as well as a new invariant called the splitting height.

Keywords

Cite

@article{arxiv.2303.06485,
  title  = {A comparison of finiteness conditions in quadratic form theory},
  author = {Karim Johannes Becher and Saurabh Gosavi},
  journal= {arXiv preprint arXiv:2303.06485},
  year   = {2023}
}