Normal surface singularities admitting contracting automorphisms

Charles Favre; Matteo Ruggiero

Annales de la faculté des sciences de Toulouse Mathématiques (2014)

  • Volume: 23, Issue: 4, page 797-828
  • ISSN: 0240-2963

Abstract

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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.

How to cite

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Favre, Charles, and Ruggiero, Matteo. "Normal surface singularities admitting contracting automorphisms." Annales de la faculté des sciences de Toulouse Mathématiques 23.4 (2014): 797-828. <http://eudml.org/doc/275399>.

@article{Favre2014,
abstract = {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.},
author = {Favre, Charles, Ruggiero, Matteo},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {normal surface singularity; contracting automorphism; weighted homogeneous singularity},
language = {eng},
number = {4},
pages = {797-828},
publisher = {Université Paul Sabatier, Toulouse},
title = {Normal surface singularities admitting contracting automorphisms},
url = {http://eudml.org/doc/275399},
volume = {23},
year = {2014},
}

TY - JOUR
AU - Favre, Charles
AU - Ruggiero, Matteo
TI - Normal surface singularities admitting contracting automorphisms
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2014
PB - Université Paul Sabatier, Toulouse
VL - 23
IS - 4
SP - 797
EP - 828
AB - 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.
LA - eng
KW - normal surface singularity; contracting automorphism; weighted homogeneous singularity
UR - http://eudml.org/doc/275399
ER -

References

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