Zero cycles on singular varieties and their desingularisations (Q273874)

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scientific article; zbMATH DE number 6572404
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Zero cycles on singular varieties and their desingularisations
scientific article; zbMATH DE number 6572404

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    Zero cycles on singular varieties and their desingularisations (English)
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    22 April 2016
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    Summary: We use pro cdh-descent of \(K\)-theory [the author, J. Inst. Math. Jussieu 15, No. 3, 539--567 (2016; Zbl 1366.19005)] to study the relationship between the zero cycles on a singular variety \(X\) and those on its desingularisation \(X'\). We prove many cases of a conjecture of S. Bloch and V. Srinivas, and relate the Chow groups of \(X\) to the Kerz-Saito Chow group with modulus of \(X'\) relative to its exceptional fibre.
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    zero cycles
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    \(K\)-theory
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    singular varieties
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