Fields where torsion forms decompose
数论
2026-05-14 v1
摘要
Over a real field which is an extension of transcendence degree 1 of a hereditarily pythagorean base field, every quadratic form which is torsion decomposes into an orthogonal sum of 2-dimensional torsion forms. This is obtained from a more general study of weakly isotropic forms over henselian valued fields and over function fields in one variable.
引用
@article{arxiv.2605.13844,
title = {Fields where torsion forms decompose},
author = {M. Archita and Karim Johannes Becher},
journal= {arXiv preprint arXiv:2605.13844},
year = {2026}
}
备注
10 pages