Kernels of numerical pushforwards

Mihai Fulger; Brian Lehmann

Kernels of numerical pushforwards

Algebraic Geometry 2016-01-14 v2

Authors: Mihai Fulger , Brian Lehmann

Abstract

Let $\pi: X \to Y$ be a morphism of projective varieties and consider the pushforward map $\pi_*: N_k(X) \to N_k(Y)$ of numerical cycle classes. We show that when the Chow groups of points of the fibers are as simple as they can be, then the kernel of $\pi_*$ is spanned by k-cycles contracted by $\pi$ .

Keywords

algebraic cycles and chow groups chow rings projective varieties

Cite

@article{arxiv.1407.6455,
  title  = {Kernels of numerical pushforwards},
  author = {Mihai Fulger and Brian Lehmann},
  journal= {arXiv preprint arXiv:1407.6455},
  year   = {2016}
}

Comments

6 pages, revised version of half of previous arXiv:1407.6455

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