Cohomological invariants of quaternionic skew-hermitian forms

• Autores: Grégory Berhuy
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 5, 2007, págs. 434-447
• Idioma: inglés
• DOI: 10.1007/s00013-006-2001-6
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• Resumen

  • We define a complete system of invariants e n,Q ,n = 0 for quaternionic skew-hermitian forms, which are twisted versions of the invariants e n for quadratic forms. We also show that quaternionic skew-hermitian forms defined over a field of 2-cohomological dimension at most 3 are classified by rank, discriminant, Clifford invariant and Rost invariant.