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arXiv · 1512.00236

Excellence of function fields of conics

Alexander S. Merkurjev·Jean-Pierre Tignol
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Abstract

For every generalized quadratic form or hermitian form over a division algebra, the anisotropic kernel of the form obtained by scalar extension to the function field of a smooth projective conic is defined over the field of constants. The proof does not require any hypothesis on the characteristic.

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Alexander S. Merkurjev, Jean-Pierre Tignol. 2015-12-01. Excellence of function fields of conics. https://arxiv.org/abs/1512.00236

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