Linear Spaces on the Intersection of Two Quadratic Hypersurfaces, and Systems of p-adic Quadratic Forms

• Autores: Rainer Dietmann
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 3, 2005, págs. 175-178
• Idioma: inglés
• DOI: 10.1007/s00605-005-0310-7
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• Resumen

  • We obtain new results on linear spaces on the intersection of two quadratic forms defined over a non-dyadic p-adic field . One of our main tools is a recent result of Parimala and Suresh on isotropy of quadratic forms over functions fields over . As a corollary we also get new bounds for the number of variables necessary to always find a non-trivial p-adic zero of a system of quadratic forms.