English

Complex varieties with infinite Chow groups modulo 2

Algebraic Geometry 2015-02-10 v1

Abstract

We show that for a very general principally polarized complex abelian 3-fold, the Chow group of algebraic cycles is infinite modulo every prime number. In particular, this gives the first examples of complex varieties with infinite Chow groups modulo 2.

Keywords

Cite

@article{arxiv.1502.02071,
  title  = {Complex varieties with infinite Chow groups modulo 2},
  author = {Burt Totaro},
  journal= {arXiv preprint arXiv:1502.02071},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T08:24:21.771Z