Proves n-divisibility of unramified Milnor K-classes and l-divisibility up to torsion for most Bloch-Ogus filtration steps on motivic cohomology of varieties over finite or separably closed fields, with generalizations to quasi-projective schemes.
Geisser, Duality via cycle complexes , Annals of Mathematics, 172 (2010), 1095--1126
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Divisibility phenomena in motivic Bloch--Ogus theory
Proves n-divisibility of unramified Milnor K-classes and l-divisibility up to torsion for most Bloch-Ogus filtration steps on motivic cohomology of varieties over finite or separably closed fields, with generalizations to quasi-projective schemes.