SEVERI-BRAUER VARIETIES FIBRATIONS ABOVE THE PROJECTIVE LINE OVER THEFUNCTION-FIELD OF A REAL CURVE

Authors
DUCROS A
Citation
A. Ducros, SEVERI-BRAUER VARIETIES FIBRATIONS ABOVE THE PROJECTIVE LINE OVER THEFUNCTION-FIELD OF A REAL CURVE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(1), 1998, pp. 71-75
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
1
Year of publication
1998
Pages
71 - 75
Database
ISI
SICI code
0764-4442(1998)327:1<71:SVFATP>2.0.ZU;2-B
Abstract
Let R be an Archimedean real closed field and K be the function field of an integral, projective, smooth R-curve. We show, by generalizing s ome demonstrations of [3], relative to conic bundles, that the ''recip rocity'' obstruction to the Hasse principle is the only one for Severi -Brauer varieties bundles over P-K(1). (C) Academie des Sciences/Elsev ier, Paris.