Zero cycles on singular varieties and their desingularisations

Matthew Morrow

Zero cycles on singular varieties and their desingularisations

Algebraic Geometry 2015-04-07 v2 K-Theory and Homology

Authors: Matthew Morrow

Abstract

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.

Keywords

algebraic cycles and chow groups

Cite

@article{arxiv.1404.4649,
  title  = {Zero cycles on singular varieties and their desingularisations},
  author = {Matthew Morrow},
  journal= {arXiv preprint arXiv:1404.4649},
  year   = {2015}
}

Comments

Remark 2.8 added, explaining applications to class field theory of singular surfaces over finite fields. To appear in Documenta Mathematica, extra volume

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