merkurev@math.ucla.edu, jean-pierre.tignol@uclouvain.be

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

Full text: dvi.gz 55 k, dvi 135 k, ps.gz 1031 k, pdf.gz 255 k, pdf 286 k.

Server Home Page