Formal deformation of curves with group scheme action

Stefan Wewers[1]

  • [1] Universität Bonn, Mathematisches Institut, beringstr. 1, 53 115 Bonn (Allemagne)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 4, page 1105-1165
  • ISSN: 0373-0956

Abstract

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We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.

How to cite

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Wewers, Stefan. "Formal deformation of curves with group scheme action." Annales de l’institut Fourier 55.4 (2005): 1105-1165. <http://eudml.org/doc/116215>.

@article{Wewers2005,
abstract = {We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.},
affiliation = {Universität Bonn, Mathematisches Institut, beringstr. 1, 53 115 Bonn (Allemagne)},
author = {Wewers, Stefan},
journal = {Annales de l’institut Fourier},
keywords = {Equivariant deformation; curves; group schemes; cotangent complex; equivariant deformation},
language = {eng},
number = {4},
pages = {1105-1165},
publisher = {Association des Annales de l'Institut Fourier},
title = {Formal deformation of curves with group scheme action},
url = {http://eudml.org/doc/116215},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Wewers, Stefan
TI - Formal deformation of curves with group scheme action
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 4
SP - 1105
EP - 1165
AB - We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.
LA - eng
KW - Equivariant deformation; curves; group schemes; cotangent complex; equivariant deformation
UR - http://eudml.org/doc/116215
ER -

References

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