Let F be a field of characteristic different from 2 and let ฯ be an anisotropic six-dimensional quadratic form over F. We study the last open cases in the problem of describing the quadratic forms ฯ such that ฯ becomes isotropic over the function field F ฯ .
Classification of Quadratic Forms over Skew Fields of Characteristic 2
โ Scribed by Mohamed Abdou Elomary; Jean-Pierre Tignol
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 188 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
Quadratic forms over division algebras over local or global fields of characteristic 2 are classified by an invariant derived from the Clifford algebra construction.
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