English

Orbit counting in polarized dynamical systems

Number Theory 2021-01-01 v1

Abstract

We extend recent orbit counts for finitely generated semigroups acting on PN\mathbb{P}^N to certain infinitely generated, polarized semigroups acting on projective varieties. We then apply these results to semigroup orbits generated by some infinite sets of unicritical polynomials.

Keywords

Cite

@article{arxiv.2012.14960,
  title  = {Orbit counting in polarized dynamical systems},
  author = {Wade Hindes},
  journal= {arXiv preprint arXiv:2012.14960},
  year   = {2021}
}
R2 v1 2026-06-23T21:34:36.850Z