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.
Full text: dvi.gz 50 k, dvi 169 k, ps.gz 352 k, pdf 264 k.
Home Page of DOCUMENTA MATHEMATICA