Quadratic forms over \(C[t_ 1,t_ 2]\) (Q1176651)
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: Quadratic forms over \(C[t_ 1,t_ 2]\) |
scientific article; zbMATH DE number 12351
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quadratic forms over \(C[t_ 1,t_ 2]\) |
scientific article; zbMATH DE number 12351 |
Statements
Quadratic forms over \(C[t_ 1,t_ 2]\) (English)
0 references
25 June 1992
0 references
The authors show that the strong Hasse principle does not hold for \(\mathbb{C}(t_ 1,t_ 2)\), i.e., there exist four-dimensional anisotropic forms which are locally isotropic for all valuations. Moreover, a decision procedure for isotropy of four-dimensional forms is developed. The results are obtained by studying properties of the quadratic reciprocity group defined by the authors.
0 references
strong Hasse principle
0 references
isotropy of four-dimensional forms
0 references
quadratic reciprocity group
0 references
