Annihilating polynomials for quadratic forms and Stirling numbers of the second kind

• Autores: Stefan de Wannemacker
• Localización: Mathematische Nachrichten, ISSN 0025-584X, Vol. 280, Nº. 11, 2007, págs. 1257-1267
• Idioma: inglés
• DOI: 10.1002/mana.200410551
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• Resumen

  • We present a set of generators of the full annihilator ideal for the Witt ring of an arbitrary field of characteristic unequal to two satisfying a non-vanishing condition on the powers of the fundamental ideal in the torsion part of the Witt ring. This settles a conjecture of Ongenae and Van Geel. This result could only be proved by first obtaining a new lower bound on the 2-adic valuation of Stirling numbers of the second kind.