Automorphisms of Rational Surfaces with Positive Entropy

作者:Deserti Julie*; Grivaux Julien
来源:Indiana University Mathematics Journal, 2011, 60(5): 1589-1622.
DOI:10.1512/iumj.2011.60.4427

摘要

A complex compact surface which carries a minimal automorphism of positive topological entropy has been proved by Cantat to be either a torus, a K3 surface, an Enriques surface or a rational surface. Automorphisms of rational surfaces are quite mysterious and have been recently the object of intensive studies. In this paper, we construct several new examples of automorphisms of rational surfaces with positive topological entropy. We also explain how to count parameters in families of rational surfaces.

  • 出版日期2011