English

On the kernel of the push-forward homomorphism between Chow groups

Algebraic Geometry 2016-06-21 v2

Abstract

In this note we prove that the kernel of the push-forward homomorphism on dd-cycles modulo rational equivalence, induced by the closed embedding of an ample divisor linearly equivalent to some multiple of the theta divisor inside the Jacobian variety J(C)J(C) is trivial. Here CC is a smooth projective curve of genus gg.

Keywords

Cite

@article{arxiv.1504.07887,
  title  = {On the kernel of the push-forward homomorphism between Chow groups},
  author = {Kalyan Banerjee and Jaya NN Iyer},
  journal= {arXiv preprint arXiv:1504.07887},
  year   = {2016}
}

Comments

24 pages

R2 v1 2026-06-22T09:25:05.350Z