On the dynamical degree of surjective endomorphisms

Ilya Karzhemanov

On the dynamical degree of surjective endomorphisms

Algebraic Geometry 2026-03-26 v1 Dynamical Systems

Authors: Ilya Karzhemanov

Abstract

We establish a couple of dynamical properties of surjective rational maps $f: X \dashrightarrow X$ for smooth projective surfaces $X$ . We also give a numerical characterization of regular $f$ in the case when $X$ is a del Pezzo surface. Some explicit constructions and calculations, related to the topological entropy of $f$ , are provided.

Keywords

rational maps del pezzo surfaces thurston maps

Cite

@article{arxiv.2603.24173,
  title  = {On the dynamical degree of surjective endomorphisms},
  author = {Ilya Karzhemanov},
  journal= {arXiv preprint arXiv:2603.24173},
  year   = {2026}
}

Comments

7 pages

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