Symétries birationnelles des surfaces feuilletées

By Serge Cantat, C. Favre. 2002

67 citations recorded by the source corpus.

We provide a classification of complex projective surfaces with a holomorphic foliation whose group of birational symetries is infinite.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9db638654636ed9eb07ed19298a5d75700c9318f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Serge Cantat
2. Igor Dolgachev
3. D. Huybrechts
4. J. Blanc
5. Keiji Oguiso

In Mathematical Physics

1. Serge Cantat
2. Igor Dolgachev
3. Keiji Oguiso
4. J. Blanc

Citations in the corpus

• Rational surfaces with a large group of automorphisms (2011, background): “Then, Gizatullin’s Theorem can be strengthened: A finite index subgroup of G preserves each fiber of the genus one fibration; it acts as a group of translations along t he fibers, with dense orbits in almost all fibers; ifG is cyclic, periodic orbits are dense in X (see [8, 6]).”
• Dynamics of automorphisms of compact complex surfaces (2014, background): “From the classification of compact Kähler surfaces, and of holomorphic vector fields on surfaces, one easily proves the following: If Aut(X)] contains a loxodromic element, either X is a torus, or Aut(X)0 is trivial (see [39, 23]).”