Automorphisms of rational surfaces with positive entropy

Automorphisms of Rational Manifolds of Positive Entropy with Siegel Disks

Using McMullen’s rational surface automorphisms, we construct projective rational manifolds of higher dimension admitting automorphisms of positive entropy with arbitrarily high number of Siegel disks and those with exactly one Siegel disk.

Automorphisms of Finite Order on Rational Surfaces

Ž . We classify minimal pairs X, G for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X G and the quotient surface Y X G as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori’s extremal ray theory and recent results of Alexeev and also Ambro on the existence of good anti-canonica...

A pr 2 00 8 Continuous Families of Rational Surface Automorphisms with Positive Entropy

§0. Introduction. Cantat [C1] has shown that if a compact projective surface carries an automorphism of positive entropy, then it has a minimal model which is either a torus, K3, or rational (or a quotient of one of these). It has seemed that rational surfaces which carry automorphisms of positive entropy are relatively rare. Indeed, the first infinite family of such rational surfaces was found...

Automorphisms of Finite Order on Rational Surfaces ( with an Appendix

Automorphisms of projective K3 surfaces with minimum entropy