Excellence of function fields of conics (Q2406614)

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Excellence of function fields of conics
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    Excellence of function fields of conics (English)
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    5 October 2017
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    Summary: 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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    quadratic and Hermitian forms
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    quaternion algebras
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    vector bundles over conics
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