Normal surface singularities admitting contracting automorphisms

Charles Favre (1) , Matteo Ruggiero (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We show that a complex normal surface singularity admitting a contracting automorphism is necessarily quasihomogeneous. We also describe the geometry of a compact complex surface arising as the orbit space of such a contracting automorphism.

Domaines: Systèmes dynamiques [math.DS]

Charles Favre, Matteo Ruggiero. Normal surface singularities admitting contracting automorphisms. Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press, ⟨10.5802/afst.1425⟩. ⟨hal-00794470⟩