Transformation Groups of Holomorphic Foliations
Jorge Vitório Pereira ,
Percy Fernández Sánchez
Keywords:
Kodaira dimension, Self bimeromorphisms, holomorphic foliations
Abstract:
We prove that the self--bimeromorphisms group of a foliation of general type on a projective surface is finite. Along the proof we study the structure of arbitrary codimension foliations on projective varieties invariant by an infinite linear algebraic group.
MSC 2000:
37F75 Holomorphic foliations and vector fields
32M25 Complex vector fields
32M05 Complex Lie groups, automorphism groups acting on complex spaces
Notes:
Previous title: Self bimeromorphisms of general type foliations.
Revised version. Accepted for publication in Communications of Analysis and Geometry.
