1 citations · 1 across the 5 of their papers we have counts for
5 papers
Examples of Harmonic Foliated Currents and Singular Levi-flats on the Projective Plane
Mohamad Alkateeb, Julio Rebelo
We provide examples of foliations on the complex projective plane $\CP^2$ carrying positive foliated harmonic currents whose supports coincide with singular Levi-flats which, in tu…
Global dynamics and perspectives on singularities of holomorphic foliations
Julio C. Rebelo, Helena Reis
In dimensions greater than or equal to 3, the local structure of a singular holomorphic foliation conceals a globally defined foliation on the projective space of dimension one les…
2-dimensional Lie algebras and separatrices for vector fields on (C^3,0)
Julio C. Rebelo, Helena Reis
We show that holomorphic vector fields on (C^3,0) have separatrices provided that they are embedded in a rank 2 representation of a two-dimensional Lie algebra. In turn, this resul…
A note on integrability and finite orbits for subgroups of Diff(C^n,0)
Julio C. Rebelo, Helena Reis
In this note we extend to arbitrary dimensions a couple of results due respectively to Mattei-Moussu and to Camara-Scardua in dimension 2. We also provide examples of singular foli…
On closed currents invariant by holomorphic foliations, I
Julio C. Rebelo
We consider closed positive currents invariant by a singular holomorphic foliation on an algebraic surface. We show that under some conditions the foliation must leave invariant an…