Hyperbolicity over function fields of quadrics
Number Theory
2017-08-08 v1
Abstract
A strong consequence of quadratic forms becoming hyperbolic over the function field of a form is established. This result is invoked to obtain a new characterisation of hyperbolicity over function fields, and to recover a number of important established results in quadratic form theory by means of novel, short and elementary proofs.
Keywords
Cite
@article{arxiv.1708.01782,
title = {Hyperbolicity over function fields of quadrics},
author = {James O'Shea},
journal= {arXiv preprint arXiv:1708.01782},
year = {2017}
}
Comments
8 pages