Normal surface singularities admitting contracting automorphisms
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 23 (2014) no. 4, pp. 797-828.

Nous montrons qu’une singularité normale de surface complexe admettant un automorphisme contractant est quasi-homogène. Nous décrivons aussi la géométrie de la surface complexe compacte obtenue comme espace des orbites d’un tel automorphisme contractant.

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.

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     title = {Normal surface singularities admitting contracting automorphisms},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {797--828},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
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Favre, Charles; Ruggiero, Matteo. Normal surface singularities admitting contracting automorphisms. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 23 (2014) no. 4, pp. 797-828. doi : 10.5802/afst.1425. http://www.numdam.org/articles/10.5802/afst.1425/

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