#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015), 465-486

** Matthew Morrow **
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 modulus
of $X'$ relative to its exceptional fibre.

2010 Mathematics Subject Classification: 14C35

Keywords and Phrases: Zero cycles; $K$-theory; singular varieties.

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