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19 April 2024
 
  » arxiv » math.RA/0309197

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The Hopf condition for bilinear forms over arbitrary fields
Daniel Dugger ; Daniel C. Isaksen ;
Date 11 Sep 2003
Subject Rings and Algebras; Algebraic Geometry; Algebraic Topology | math.RA math.AG math.AT
AbstractWe settle an old question about the existence of certain "sums-of-squares" formulas over a field F (which are the simplest examples of composition formulas for quadratic forms). A classical theorem says that if such a formula exists over a field of characteristic 0, then certain binomial coefficients must be even. We use motivic cohomology to prove that the same result holds in characteristic p.
Source arXiv, math.RA/0309197
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