Weak approximation for surfaces defined by two quadratic forms (Q1179178)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Weak approximation for surfaces defined by two quadratic forms |
scientific article; zbMATH DE number 24069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak approximation for surfaces defined by two quadratic forms |
scientific article; zbMATH DE number 24069 |
Statements
Weak approximation for surfaces defined by two quadratic forms (English)
0 references
26 June 1992
0 references
The aim of this paper is to prove a conjecture due to \textit{J.-L. Colliot- Thélène}, \textit{J.-J. Sansuc} and \textit{P. Swinnerton-Dyer} about weak approximation on del Pezzo surfaces of degree 4. The main result shows that, if such a surface defined over a number field has at least one point over that field, then the ``Brauer obstruction'' is the only obstruction to weak approximation.
0 references
Brauer group
0 references
Brauer obstruction
0 references
Hasse principle
0 references
weak approximation
0 references
del Pezzo surfaces of degree 4
0 references
0 references
