English

Two refined notions in quadratic form theory

Number Theory 2024-01-31 v1

Abstract

We use the Witt index to define and study a refined notion of the local-global principle for isotropy of quadratic forms over a field kk and to define and study refined versions of the mm-invariant of kk. We also explore connections between these refinements.

Keywords

Cite

@article{arxiv.2401.16602,
  title  = {Two refined notions in quadratic form theory},
  author = {Connor Cassady},
  journal= {arXiv preprint arXiv:2401.16602},
  year   = {2024}
}

Comments

31 pages, comments welcome!

R2 v1 2026-06-28T14:30:56.442Z