Classes of forms witt equivalent to a second trace form over fields of characteristic two

• Maza, Ana Cecilia de la ^[1]
  1. [1] Universidad de Talca

     Universidad de Talca

     Provincia de Talca, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 22, Nº. 3, 2003, págs. 237-242
• Idioma: inglés
• DOI: 10.4067/S0716-09172003000300005
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• Resumen

  • 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.

• Referencias bibliográficas
  • Citas [BM] Bergé, A.M., Martinet, J.: Formes quadratiques et extensions en caractéristique 2, Sém. Théorie des Nombres de Bordeaux, exposé...
  • [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).