Equivariant deformations of semi-stable curves

José Bertin[1]; Sylvain Maugeais

  • [1] Institut Fourier, BP 74, 38402 Saint-Martin d'Hères cedex (France), SFB 478, geometrische str. in der mathematik, hittorfstr. 27, 48149 Münster (Allemagne)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 6, page 1905-1941
  • ISSN: 0373-0956

Abstract

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In this paper we study deformation theory of wildly ramified Galois coverings between stables curves. We first study the local aspects concerning a formal double point with a p -group as inertia group, and then the global case. We compare global obstructions and local obstructions to the lifting problem.

How to cite

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Bertin, José, and Maugeais, Sylvain. "Déformations équivariantes des courbes semistables." Annales de l’institut Fourier 55.6 (2005): 1905-1941. <http://eudml.org/doc/116238>.

@article{Bertin2005,
abstract = {Nous étudions la théorie des déformations des revêtements galoisiens sauvagement ramifiés entre courbes stables. On examine d’abord les problèmes locaux, point double formel avec pour groupe d’inertie un $p$-groupe, puis le cas global. On compare enfin les obstructions globales au relèvement aux obstructions locales.},
affiliation = {Institut Fourier, BP 74, 38402 Saint-Martin d'Hères cedex (France), SFB 478, geometrische str. in der mathematik, hittorfstr. 27, 48149 Münster (Allemagne)},
author = {Bertin, José, Maugeais, Sylvain},
journal = {Annales de l’institut Fourier},
keywords = {covering; deformation; double point},
language = {fre},
number = {6},
pages = {1905-1941},
publisher = {Association des Annales de l'Institut Fourier},
title = {Déformations équivariantes des courbes semistables},
url = {http://eudml.org/doc/116238},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Bertin, José
AU - Maugeais, Sylvain
TI - Déformations équivariantes des courbes semistables
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 6
SP - 1905
EP - 1941
AB - Nous étudions la théorie des déformations des revêtements galoisiens sauvagement ramifiés entre courbes stables. On examine d’abord les problèmes locaux, point double formel avec pour groupe d’inertie un $p$-groupe, puis le cas global. On compare enfin les obstructions globales au relèvement aux obstructions locales.
LA - fre
KW - covering; deformation; double point
UR - http://eudml.org/doc/116238
ER -

References

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  12. S. Maugeais, Déformations équivariantes des courbes stables, (2003) Zbl1073.14042
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  14. R. Pries, Deformation of Wildly ramified Actions on Curves Zbl1059.14033
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