English

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

Algebraic Geometry 2017-10-10 v2

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.

Keywords

Cite

@article{arxiv.1307.1771,
  title  = {Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)},
  author = {Julien Grivaux},
  journal= {arXiv preprint arXiv:1307.1771},
  year   = {2017}
}

Comments

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