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math.NT2017
Hyperbolicity over function fields of quadrics
James O'Shea
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 hyperbolici…
math.NT2017
Group and round quadratic forms
James O'Shea
We offer some elementary characterisations of group and round quadratic forms. These characterisations are applied to establish new (and recover existing) characterisations of Pfis…