Characterization of Hermitian Trace Forms
✍ Scribed by Grégory Berhuy
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 75 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
In this paper we determine trace forms of field extensions defined by trinomials \(X^{n}+a X^{k}+b\). This gives an affirmative answer to a generalization of a question of Conner and Yui. Moreover we classify all such trace forms over algebraic number fields. ' 1993 Academic Press, Inc.
The neighbour method of Kneser can be adapted to the hermitian case. Generalizing results of Hoffmann (1991), we show that it can be used to classify any genus in a hermitian space of dimension ≥2 by neighbour steps at suitable primes. The method was implemented for positive definite hermitian latti