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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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