English

Tri-Coble surfaces and their automorphisms

Algebraic Geometry 2020-03-05 v1 Dynamical Systems

Abstract

We construct some positive entropy automorphisms of rational surfaces with no periodic curves. The surfaces in question, which we term tri-Coble surfaces, are blow-ups of the projective plane at 12 points which have contractions down to three different Coble surfaces. The automorphisms arise as compositions of lifts of Bertini involutions from certain degree 1 weak del Pezzo surfaces.

Keywords

Cite

@article{arxiv.2003.01799,
  title  = {Tri-Coble surfaces and their automorphisms},
  author = {John Lesieutre},
  journal= {arXiv preprint arXiv:2003.01799},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T14:02:55.286Z