Rudy Rosas

Invariant sets near singularities of holomorphic foliations

Consider a complex one-dimensional foliation on a complex surface near a singularity

Secants of Trajectories in Dimension Three

p

Differentiable equisingularity of holomorphic foliations

. If

On the dynamics of foliations in

{\mathcal{I}}

\mathbb{P}^n

is a closed invariant set containing the singularity

tangent to Levi-flat hypersurfaces

p

Infinitesimal Poincaré–Bendixson Problem in Dimension 3

, then

Infinitesimal Poincar\'e-Bendixson Problem in dimension three

{\mathcal{I}}

On singular real analytic Levi-flat foliations.

contains either a separatrix at

Compact Invariant Sets for Global Holomorhic Foliations

p