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

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.
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Submitted on : Tuesday, April 12, 2016 - 11:51:41 AM
Last modification on : Monday, March 4, 2019 - 2:04:22 PM

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  • HAL Id : hal-01301468, version 1
  • ARXIV : 1307.1771

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Julien Grivaux. Parabolic automorphisms of projective surfaces (after M. H. Gizatullin). Moscow mathematical journal, 2016, 16 (2), pp.275--298. ⟨hal-01301468⟩

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