Excellence of function fields of conics
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Excellence of function fields of conics

  • Author(s): Merkurjev, AS
  • Tignol, J-P
  • et al.
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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