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.
A survey of Gersten's conjecture
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abstract
This article is the extended notes of my survey talk of Gersten's conjecture given at the workshop "Bousfield classes form a set: a workshop in a memory of Tetsusuke Ohkawa" at Nagoya University in August 2015. In the last section, I give an explanation of my recent work of motivic Gernsten's conjecture.
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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.