Isotropy of virtual Albert forms over function fields of quadrics

Citation
O. Izhboldin et N. Karpenko, Isotropy of virtual Albert forms over function fields of quadrics, MATH NACHR, 206, 1999, pp. 111-122
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
206
Year of publication
1999
Pages
111 - 122
Database
ISI
SICI code
0025-584X(1999)206:<111:IOVAFO>2.0.ZU;2-H
Abstract
Let F be a field of characteristic different from 2 and let phi be a virtua l Albert form over F, i.e., an anisotropic 6-dimensional quadratic form ove r F which is still anisotropic over the field F(rootd+/-f). We give a compl ete description of the quadratic forms y such that phi becomes isotropic ov er the function field F(psi). This completes the series of works ([H6], [La g6], [Lag], [Lee], [M2]) where the question was considered previously.