Bounds on the hermitian u-invariants under quadratic field extensions
Number Theory
2025-01-15 v1
Abstract
The hermitian u-invariants of a central simple algebra with involution are studied. In this context, a new technique is obtained to give bounds for the behavior of these invariants under a quadratic field extension. This is applied to obtain bounds in terms of the index and the u-invariant of the base field.
Cite
@article{arxiv.2501.07662,
title = {Bounds on the hermitian u-invariants under quadratic field extensions},
author = {Karim Johannes Becher and Fatma Kader Bingöl},
journal= {arXiv preprint arXiv:2501.07662},
year = {2025}
}
Comments
17 pages