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Moscow Mathematical Journal, 2016, Volume 16, Number 2, Pages 275–298
DOI: https://doi.org/10.17323/1609-4514-2016-16-2-275-298 (Mi mmj600) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)

Julien Grivaux

CNRS (Centre National de la Recherche Scientifique) Institut de mathématiques de Marseille (I2M), Université d'Aix-Marseille & Institut des hautes études scientifiques (IHÉS), Bures sur Yvette
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DOI: https://doi.org/10.17323/1609-4514-2016-16-2-275-298
Abstract: In 1980, Gizatullin classified rational surfaces endowed with an automorphism whose action on the Neron–Severi group is parabolic: these surfaces are endowed with an elliptic fibration invariant by the automorphism. The aim of this expository paper is to present for non-experts the details of Gizatullin's original proof, and to provide an introduction to a recent paper by Cantat and Dolgachev.
Key words and phrases: algebraic surface, rational surface automorphisms, Cremona group.
Funding agency Grant number
Agence Nationale de la Recherche ANR-11-JS01-004-01
This research was supported in part by ANR Grant “BirPol” ANR-11-JS01-004-01.
Received: June 21, 2014; in revised form January 26, 2015
Bibliographic databases:
Document Type: Article
MSC: 14J27
Language: English
Citation: Julien Grivaux, “Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)”, Mosc. Math. J., 16:2 (2016), 275–298
Citation in format AMSBIB
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\by Julien~Grivaux
\paper Parabolic automorphisms of projective surfaces (after M.\,H.~Gizatullin)
\jour Mosc. Math.~J.
\yr 2016
\vol 16
\issue 2
\pages 275--298
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\crossref{https://doi.org/10.17323/1609-4514-2016-16-2-275-298}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3480704}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391209600003}
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    • This publication is cited in the following 11 articles:
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