Formes logarithmiques et feuilletages non dicritiques

Dominique Cerveau

Journal of Singularities
volume 9 (2014), 50-55

Received 13 June 2012. Received in revised form 4 November 2013.

DOI: 10.5427/jsing.2014.9d

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Abstract:

Given an algebraic codimension 1 foliation F on the projective space P_C^n, under reasonable conditions on the nature of the singular set, one has that the degree of any invariant variety is at most d+2, where d is the degree of F. In this work we study the extreme case where the degree of the foliation attains its upper bound d+2, so completing results by Brunella.


Keywords:

logarithmic meromorphic forms, holomorphic foliations


Mathematical Subject Classification:

34M45, 37F75


Author(s) information:

Dominique Cerveau
Membre de l'Institut Universitaire de France
IRMAR, UMR 6625 du CNRS
Université de Rennes 1
35042 Rennes, France
email: dominique.cerveau@univ-rennes1.fr