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.
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Proves moving lemma for cohomology with support on smooth quasi-projective k-varieties with smooth projective compactification, implying generalizations of effacement, Gersten in char 0, and motivicity of refined unramified groups.
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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.
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A moving lemma for cohomology with support
Proves moving lemma for cohomology with support on smooth quasi-projective k-varieties with smooth projective compactification, implying generalizations of effacement, Gersten in char 0, and motivicity of refined unramified groups.