Nonalgebraic compactifications of quotients of the cylinder
We classify compact complex surfaces which contain a Zariski open subset whose universal covering is the cylinder DxC.
math.CV↗
arXiv subjects
Marco Brunella
Publications and source records attributed to Marco Brunella.
Some remarks on meromorphic first integrals
We give a simple proof, with some complements, of a result of Cerveau and Lins Neto, concerning the existence of meromorphic first integrals for germs of codimension one foliations with an invariant real hypersurface.
math.CV↗
A characterization of Inoue surfaces
We give a characterization of Inoue surfaces in terms of automorphic pluriharmonic functions on a cyclic covering. Together with results of Chiose and Toma, this completes the classification of compact complex surfaces of Kaehler rank one.
math.CV↗
Locally conformally Kaehler metrics on Kato surfaces
We show that every Kato surface (or surface with a global spherical shell) admits a locally conformally Kaehler metric.
math.CV↗
Uniformisation of foliations by curves
These are lecture notes for a course to be held. They provide a full discussion of certain analytic aspects of the uniformisation theory of (singular) holomorphic foliations by curves on compact Kaehler manifolds, with emphasis on their consequences on positivity properties of the corresponding canonical bundles.
math.CV↗
On the dynamics of codimension one holomorphic foliations with ample normal bundle
We investigate the accumulation to singular points of leaves of codimension one foliations whose normal bundle is ample, with emphasis on the nonexistence of Levi-flat hypersurfaces.
math.CV↗
Singular Levi-flat hypersurfaces and codimension one foliations
We study Levi-flat real analytic hypersurfaces with singularities. We prove that the Levi foliation on the regular part of the hypersurface can be holomorphically extended, in a suitable sense, to neighbourhoods of singular points.
math.CV↗
Foliations on complex projective surfaces
These are lecture notes of a course given in Pisa, SNS, in february 2002. They provide a classification of holomorphic foliations of nongeneral type on compact Kaehler surfaces.
math.CV↗