Zero cycles on singular varieties and their desingularisations

We use pro cdh-descent of \(K\)-theory 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...

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Published inarXiv.org
Main Author Morrow, Matthew
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.04.2015
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Summary:We use pro cdh-descent of \(K\)-theory 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.
ISSN:2331-8422