A comparison theorem for MW-motivic cohomology

2017/08/21 by Calmès, Baptiste, Fasel, Jean
#13D15 #14A99 #14C35 #14F42 #19D45 #19E15 #19G38 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #Primary: 11E70 #Secondary: 11E81

paper · doi:10.48550/arxiv.1708.06100

Abstract

We prove that for a finitely generated field over an infinite perfect field k, and for any integer n, the (n,n)-th MW-motivic cohomology group identifies with the n-th Milnor-Witt K-theory group of that field

Related

• Hermitian K-theory and Milnor-Witt motivic cohomology over \mathbb Z
• Milnor-Witt Motives
• Semilocal Milnor K-theory
• Milnor-Witt motivic decomposition of Stiefel varieties
• The Milnor-Witt motivic ring spectrum and its associated theories