$\mathbb{A}^1$-equivalence of zero cycles on surfaces

Yi Zhu

$\mathbb{A}^1$-equivalence of zero cycles on surfaces

Algebraic Geometry 2017-01-18 v3

Authors: Yi Zhu

Abstract

In this paper, we study $\mathbb{A}^1$ -equivalence classes of zero cycles on open complex algebraic surfaces. We prove the logarithmic version of Mumford's theorem on zero cycles and prove that log Bloch's conjecture holds for quasiprojective surfaces with log Kodaira dimension $-\infty$ .

Keywords

algebraic cycles and chow groups cyclic homology

Cite

@article{arxiv.1510.01712,
  title  = {$\mathbb{A}^1$-equivalence of zero cycles on surfaces},
  author = {Yi Zhu},
  journal= {arXiv preprint arXiv:1510.01712},
  year   = {2017}
}

Comments

17 pages. Final version

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