Chow groups and pseudoeffective cones of complexity one $T$-varieties

Bernt Ivar Utstøl Nødland

Chow groups and pseudoeffective cones of complexity one $T$-varieties

Algebraic Geometry 2019-07-26 v1

Authors: Bernt Ivar Utstøl Nødland

Abstract

We show that the pseudoeffective cone of $k$ -cycles on a complete complexity one $T$ -variety is rational polyhedral for any $k$ , generated by classes of $T$ -invariant subvarieties. When $X$ is also rational, we give a presentation of the Chow groups of $X$ in terms of generators and relations, coming from the combinatorial data defining $X$ as a $T$ -variety.

Keywords

algebraic cycles and chow groups chow rings wreath product of groups

Cite

@article{arxiv.1907.10941,
  title  = {Chow groups and pseudoeffective cones of complexity one $T$-varieties},
  author = {Bernt Ivar Utstøl Nødland},
  journal= {arXiv preprint arXiv:1907.10941},
  year   = {2019}
}

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