English

On finite orbits of infinite correspondences

Commutative Algebra 2025-11-11 v1

Abstract

These notes collect results about algebraic correspondences and adapt them to the setting of correspondences on projective lines. The focus lies on finite orbits of algebraic correspondences. The main result is a field theoretic characterization of the (in)finiteness of the number of finite orbits.

Keywords

Cite

@article{arxiv.2511.07172,
  title  = {On finite orbits of infinite correspondences},
  author = {Manfred Buchacher},
  journal= {arXiv preprint arXiv:2511.07172},
  year   = {2025}
}

Comments

7 pages