A moving lemma for algebraic cycles with modulus and contravariance
Algebraic Geometry
2019-11-15 v4 K-Theory and Homology
Abstract
We prove a moving lemma which implies the contravariance of Bloch-Esnault's additive higher Chow group in smooth affine varieties and Binda-Saito's higher Chow group (taken in the Nisnevich topology) in smooth varieties equipped with effective Cartier divisors. The new ingredients in the moving method are parallel translation {\em with modulus} in the affine space that involves a new integer parameter, and Noether's normalization lemma over a Dedekind base.
Cite
@article{arxiv.1507.07619,
title = {A moving lemma for algebraic cycles with modulus and contravariance},
author = {Wataru Kai},
journal= {arXiv preprint arXiv:1507.07619},
year = {2019}
}
Comments
v4: 39 pages. Rewritten for submission for publication