Remarks on approximate decompositions of the diagonal

René Mboro

Remarks on approximate decompositions of the diagonal

Algebraic Geometry 2017-08-09 v1

Authors: René Mboro

Abstract

In this paper, we investigate, for varieties over $\mathbb C$ with trivial group of $0$ -cycles, the gap between essential $\mathrm{CH}_0$ -dimension $2$ and essential $\mathrm{CH}_0$ -dimension $0$ . In particular, we present sufficient (and necessary) conditions for a variety with trivial group of $0$ -cycles and essential $\mathrm{CH}_0$ -dimension $\leq 2$ to have, in fact, essential $\mathrm{CH}_0$ -dimension $0$ .

Keywords

algebraic geometry decomposition of the diagonal zero-cycles essential CH0-dimension

Cite

@article{arxiv.1708.02422,
  title  = {Remarks on approximate decompositions of the diagonal},
  author = {René Mboro},
  journal= {arXiv preprint arXiv:1708.02422},
  year   = {2017}
}

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