The Hopf condition for bilinear forms over arbitrary fields

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dc.creatorDugger, Daniel
dc.creatorIsaksen, Daniel C.
dc.date2003-09-11
dc.date.accessioned2026-07-07T05:01:03Z
dc.date.available2026-07-07T05:01:03Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0309197
dc.identifierhttp://arxiv.org/abs/math/0309197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68542
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.titleThe Hopf condition for bilinear forms over arbitrary fields
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