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Automorphismes naturels de l'espace de Douady de points sur une surface

Published online by Cambridge University Press:  20 November 2018

Samuel Boissière
Samuel Boissière*
Affiliation:
Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil Cedex, France URL: http://www-math.sp2mi.univ-poitiers.fr/~sboissie/ email: Samuel.Boissiere@univ-poitiers.fr
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Résumé

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On établit quelques résultats généraux relatifs à la taille du groupe d’automorphismes de l’espace de Douady de points sur une surface, puis on étudie quelques propriétés des automorphismes provenant d’un automorphisme de la surface, en particulier leur action sur la cohomologie et la classification de leurs points fixes.

Keywords

14C05Schéma de Hilbertautomorphismespoints fixes
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 1 , 01 February 2012 , pp. 3 - 23
Copyright
Copyright © Canadian Mathematical Society 2012

References

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