Rigidity for relative $0$-cycles
Algebraic Geometry
2019-10-04 v3
Abstract
We present a relation between the classical Chow group of relative -cycles on a regular scheme , projective and flat over an excellent Henselian discrete valuation ring, and the Levine-Weibel Chow group of 0-cycles on the special fiber. We show that these two Chow groups are isomorphic with finite coefficients under extra assumptions. This generalizes a result of Esnault, Kerz and Wittenberg.
Cite
@article{arxiv.1802.00165,
title = {Rigidity for relative $0$-cycles},
author = {Federico Binda and Amalendu Krishna},
journal= {arXiv preprint arXiv:1802.00165},
year = {2019}
}
Comments
21 pages. Final version. To appear in Annali della Scuola Normale Superiore di Pisa