Submission: 2015, Dec 1
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.
2010 Mathematics Subject Classification: Primary 11E04, Secondary 14H60
Keywords and Phrases: Generalized quadratic form, Hermitian form, curve of genus zero
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