The first stable homotopy groups of motivic spheres

• 成果类型: Article
• 署名作者: Rondigs, Oliver; Spitzweck, Markus; Ostvaer, Paul Arne
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2019.189.1.1
• 发表日期: 2019
• 页码: 1-74
• 关键词: hermitian k-theory; novikov spectral sequence; COHOMOLOGY; slices; CONVERGENCE; MODULES

摘要

We compute the 1-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of hermitian and Milnor K-groups. This is achieved by solving questions about convergence and differentials in the slice spectral sequence.