Fields where torsion forms decompose

M. Archita; Karim Johannes Becher

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arXiv · 2605.13844

Fields where torsion forms decompose

M. Archita·Karim Johannes Becher

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Abstract

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.

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M. Archita, Karim Johannes Becher. 2026-05-13. Fields where torsion forms decompose. https://arxiv.org/abs/2605.13844

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