Murthy's conjecture on 0-cycles

Amalendu Krishna

Murthy's conjecture on 0-cycles

Algebraic Geometry 2019-03-19 v3

Authors: Amalendu Krishna

Abstract

We show that the Levine-Weibel Chow group of 0-cycles $\CH^d(A)$ of a reduced affine algebra $A$ of dimension $d \ge 2$ over an algebraically closed field is torsion-free. Among several applications, it implies an affirmative solution to an old conjecture of Murthy in classical $K$ -theory..

Keywords

algebraic cycles and chow groups algebraic varieties

Cite

@article{arxiv.1511.04221,
  title  = {Murthy's conjecture on 0-cycles},
  author = {Amalendu Krishna},
  journal= {arXiv preprint arXiv:1511.04221},
  year   = {2019}
}

Comments

Final version, 38 pages, To appear in Inventiones mathematicae

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