The goal of this note is to exhibit the integrability properties (in the sense of the Frobenius
theorem) of holomorphic p-forms with values in certain line bundles with semi-negative …

In 1991 Campana and Peternell proposed, as a natural algebro-geometric extension of
Mori's characterization of the projective space, the problem of classifying the complex …

Abstract We prove LeBrun–Salamon conjecture in the following situation: if X is a contact
Fano manifold of dimension 2 n+ 1 2 n+ 1 whose group of automorphisms is reductive of …

We prove the LeBrun-Salamon Conjecture in low dimensions. More precisely, we show that
a contact Fano manifold X of dimension 2n+ 1 that has reductive automorphism group of …

The usual structures of symplectic geometry (symplectic, contact, Poisson) make sense for
complex manifolds; they turn out to be quite interesting on projective, or compact Kähler …

Let X be a complex projective manifold, L an ample line bundle on X, and assume that we
have a ℂ* action on (X; L). We classify such triples (X; L; ℂ*) for which the closure of a …

This article consists of three parts that are largely independent of one another. The first part
deals with the projective geometry of homogeneous varieties, in particular their secant and …

We prove the LeBrun–Salamon Conjecture in low dimensions. More precisely, we show that
a contact Fano manifold $ X $ of dimension $2 n+ 1$ that has reductive automorphism group …

This is a survey paper about a selection of results in complex algebraic geometry that
appeared in the recent and less recent litterature, and in which rational homogeneous …

If X is a complex projective manifold which carries a contact structure, then the results of [3]
and [9] show that X is either isomorphic to a projectivized tangent bundle of a complex …