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arXiv · 1708.01782

Hyperbolicity over function fields of quadrics

James O'Shea
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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.

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James O'Shea. 2017-08-05. Hyperbolicity over function fields of quadrics. https://arxiv.org/abs/1708.01782

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