English

Webs invariant by rational maps on surfaces

Complex Variables 2014-10-14 v1

Abstract

We prove that under mild hypothesis rational maps on a surface preserving webs are of Latt\`es type. We classify endomorphisms of P^2 preserving webs, extending former results of Dabija-Jonsson.

Keywords

Cite

@article{arxiv.1410.3133,
  title  = {Webs invariant by rational maps on surfaces},
  author = {Charles Favre and Jorge Vitorio Pereira},
  journal= {arXiv preprint arXiv:1410.3133},
  year   = {2014}
}

Comments

27 pages, submitted

R2 v1 2026-06-22T06:20:56.552Z