English

A cdh approach to zero-cycles on singular varieties

Algebraic Geometry 2010-03-02 v1

Abstract

We study the Chow group of zero-cycles on singular varieties using the cdh topology. We define the cdh versions of the zero-cycles and albanese maps. We prove results comparing these groups for a singular variety with the similar groups on the resolution of singularities. We use these to prove some results about the known Chow group of zero-cycles on surfaces and threefolds and some cases of arbitrary dimension.

Keywords

Cite

@article{arxiv.1003.0264,
  title  = {A cdh approach to zero-cycles on singular varieties},
  author = {Amalendu Krishna},
  journal= {arXiv preprint arXiv:1003.0264},
  year   = {2010}
}
R2 v1 2026-06-21T14:52:16.042Z