Hyperbolicity over function fields of quadrics

Published 5 Aug 2017 in math.NT | (1708.01782v1)

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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Authors (1)

James O'Shea

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