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.
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.
@article{AFST_2014_6_23_4_797_0,
author = {Charles Favre and Matteo Ruggiero},
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},
address = {Toulouse},
volume = {Ser. 6, 23},
number = {4},
year = {2014},
doi = {10.5802/afst.1425},
zbl = {1305.14019},
mrnumber = {3270424},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1425/}
}
TY - JOUR AU - Charles Favre AU - Matteo Ruggiero TI - Normal surface singularities admitting contracting automorphisms JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2014 SP - 797 EP - 828 VL - 23 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1425/ DO - 10.5802/afst.1425 LA - en ID - AFST_2014_6_23_4_797_0 ER -
%0 Journal Article %A Charles Favre %A Matteo Ruggiero %T Normal surface singularities admitting contracting automorphisms %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2014 %P 797-828 %V 23 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1425/ %R 10.5802/afst.1425 %G en %F AFST_2014_6_23_4_797_0
Charles Favre; Matteo Ruggiero. Normal surface singularities admitting contracting automorphisms. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 23 (2014) no. 4, pp. 797-828. doi : 10.5802/afst.1425. https://afst.centre-mersenne.org/articles/10.5802/afst.1425/
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