Geodesic
Zero cycles on singular varieties and their desingularisations
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 465-486.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14C35, 14J17, 14E15
Keywords: zero cycles, $K$-theory, singular varieties 
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     author = {Morrow, Matthew},
     title = {Zero cycles on singular varieties and their desingularisations},
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Morrow, Matthew. Zero cycles on singular varieties and their desingularisations. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 465-486. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a6/