Classes of forms witt equivalent to a second trace form over fields of characteristic two
DOI:
https://doi.org/10.4067/S0716-09172003000300005Keywords:
Trace form, Characteristic two.Abstract
Let F be a field of characteristic two. We determine all nonhyperbolic quadratic forms over F that are Witt equivalent to a second trace form.
References
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[KS] Krüspkeemper, M., Scharlau, W.: On trace forms of Hilbertian fields, Comment. Math. Helvetici 63, pp. 296-304, (1988).
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[Sch] Scharlau, W.: On trace forms of algebraic number fields, Math. Zeit. 127, pp. 125-127, (1987).
[Wat] Waterhouse, W.: Scaled trace forms over number fields, Arch. Math. 47, pp. 229-231, (1986).
[CP] Conner, P., Perlis, R.: A survey of trace forms of algebraic number fields, World Scientific, Singapur, (1984).
[EHP] Estes, R., Hurrelbrink, J., Perlis, R.: Total positivity and algebraic Witt classes, Comment. Math. Helvetici 60, pp. 284-290, (1985).
[KS] Krüspkeemper, M., Scharlau, W.: On trace forms of Hilbertian fields, Comment. Math. Helvetici 63, pp. 296-304, (1988).
[R] Revoy, P.: Remarques sur la forme trace, Linear and multilinear algebra 10, pp. 223-233, (1981).
[Sa1] Sah, C.H.: Symmetric bilinear forms and quadratic forms, Journal of algebra 20, pp. 144-169, (1972).
[Se] Serre, J.P.: Linvariant de Witt de la forme tr(x2), Comment. Math. Helvetici 59, pp. 657-676, (1984).
[Sch] Scharlau, W.: On trace forms of algebraic number fields, Math. Zeit. 127, pp. 125-127, (1987).
[Wat] Waterhouse, W.: Scaled trace forms over number fields, Arch. Math. 47, pp. 229-231, (1986).
Published
2017-04-24
How to Cite
[1]
A. C. de la Maza, “Classes of forms witt equivalent to a second trace form over fields of characteristic two”, Proyecciones (Antofagasta, On line), vol. 22, no. 3, pp. 237-242, Apr. 2017.
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