- journal article metadata
European Mathematical Society Publishing House
2017-08-25 23:45:01
L’Enseignement Mathématique
Enseign. Math.
LEM
0013-8584
2309-4672
General
10.4171/LEM
http://www.ems-ph.org/doi/10.4171/LEM
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Fondation L’Enseignement Mathématique
62
2016
3
Excellence of function fields of conics
Alexander
Merkurjev
University of California, Los Angeles, USA
Jean-Pierre
Tignol
Université Catholique de Louvain, Belgium
Quadratic and Hermitian forms, quaternion algebras, vector bundles over conics
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 de fined over the field of constants. Tjhe proof does not require any hypothesis on the characteristic.
Number theory
Algebraic geometry
421
456
10.4171/LEM/62-3/4-3
http://www.ems-ph.org/doi/10.4171/LEM/62-3/4-3