15 citations · 28 across the 8 of their papers we have counts for
9 papers
Geometric index theorems for holomorphic foliations and curves
César Camacho, Rudy Rosas
Let be a complex surface endowed with a holomorphic projective connection and let be a compact smooth holomorphic curve. Given two singular holomorphic foliations…
Algebraic curves and foliations
César Camacho, Hossein Movasati
Consider a field of characteristic , not necessarily algebraically closed, and a fixed algebraic curve defined by a tame polynomial with only quasi-homog…
Remarks on a theorem of Perron
Cesar Camacho, Hossein Movasati
For a linear differential equation with a mild condition on its singularities, we discuss generalized continued fractions converging to expressions in its solutions and their deriv…
Invariant sets near singularities of holomorphic foliations
César Camacho, Rudy Rosas
Consider a complex one dimensional foliation on a complex surface near a singularity . If is a closed invariant set containing the singularity , then $\mathcal{…
On the existence of stable compact leaves for transversely holomorphic foliations
Bruno Scardua
A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the mani…
Foliated neighborhoods of exceptional submanifolds
Cesar Camacho, Hossein Movasati
The present article is a study of germs of regular foliations transverse to an embedded strongly exceptional submanifold of a complex manifold. Cohomological conditions are given o…