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arXiv:1708.01782 [math.NT]AbstractReferencesReviewsResources

Hyperbolicity over function fields of quadrics

James O'Shea

Published 2017-08-05Version 1

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.

Comments: 8 pages
Categories: math.NT
Subjects: 11E04, 11E16, 11E81, 12F20, 14E05
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