Excellence of function fields of conics
K-Theory and Homology
2015-12-02 v1
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.
Cite
@article{arxiv.1512.00236,
title = {Excellence of function fields of conics},
author = {Alexander S. Merkurjev and Jean-Pierre Tignol},
journal= {arXiv preprint arXiv:1512.00236},
year = {2015}
}