Principal ideals in mod-ℓ Milnor K-theory

2015/07/10 by Charles Weibel, Inna Zakharevich, Weibel, Charles +1
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #math.KT

paper · pdf · doi:10.48550/arxiv.1507.03035

14 pages

arxiv created 2016/02/15 · arxiv updated 2016/02/17

Abstract

Fix a symbol \underlinea in the mod-ℓ Milnor K-theory of a field k, and a norm variety X for \underlinea. We show that the ideal generated by \underlinea is the kernel of the K-theory map induced by k⊂ k(X) and give generators for the annihilator of the ideal. When ℓ=2, this was done by Orlov, Vishik and Voevodsky.

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