The Hopf condition for bilinear forms over arbitrary, fields

• 成果类型: Article
• 署名作者: Dugger, Daniel; Isaksen, Daniel C.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2007.165.943
• 发表日期: 2007
• 页码: 943-964
• 关键词: higher chow groups; MOTIVIC COHOMOLOGY

摘要

We settle an old question about the existence of certain 'sums-of-squares' formulas over a field F, related to the composition problem for quadratic forms. A classical theorem says that if such a formula exists over a field of characteristic 0, then certain binomial coefficients must vanish. We prove that this result also holds over fields of characteristic p > 2.