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CONSTRUCTION OF VECTOR FIELDS AND RICCATI FOLIATIONS ASSOCIATED TO GROUPS OF PROJECTIVE AUTOMORPHISMS

By Fabio Santos, Bruno and Sc Árdua

Abstract

Abstract. Our main result states that given a finitely generated subgroup G of Aut(CP (2)), there is an algebraic foliation F on a complex projective 3-manifold M 3 with a bundle structure over CP (1) and fiber CP (2), such that F is transverse to almost every fiber of the bundle and with global holonomy conjugate to G. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.4538
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