27 citations · 38 across the 12 of their papers we have counts for
5 papers · 1 filter
Neighborhoods of Analytic Varieties in Complex Manifolds
Cesar Camacho, Hossein Movasati
The systematic study of neighborhoods of analytic varieties was started by H. Grauert in his celebrated article 1962. In that article he considers a manifold X and a negatively emb…
On the Topology of Foliations with a First Integral
Hossein Movasati
The main objective of this article is to study the topology of the fibers of a generic rational function of the type in the projective space of dimension two. We will pro…
Center conditions: Rigidity of logarithmic differential equations
Hossein Movasati
In this paper we prove that any degree deformation of a generic logarithmic polynomial differential equation with a persistent center must be logarithmic again. This is a gener…
Meromorphic connections on and the multiplicity of Abelian integrals
Hossein Movasati
In this paper we introduce the concept of Abelian integrals in differential equations for an arbitrary vector bundle on with a meromorphic connection. In this general context…
Abelian integrals in holomorphic foliations
Hossein Movasati
The aim of this paper is to introduce the theory of Abelian integrals for holomorphic foliations in a complex manifold of dimension two. We will show the importance of Picard-Lefsc…