1 citations · 2 across the 12 of their papers we have counts for
15 papers
Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs
Víctor León, Bruno Scárdua
We study third-order linear differential equations through their associated Pfaffian and projective foliations. In the regular-singular setting, we introduce a Fuchs-adapted Pfaffi…
Stability and Logarithmic Foliations on Complex Projective Spaces
Víctor León, Bruno Scárdua
We study Lyapunov-type stability for invariant algebraic divisors of codimension-one holomorphic foliations on complex projective spaces. Motivated by the notion of -stability i…
An arithmetic integrability result for codimension-one foliations on complex projective spaces
Víctor León, Bruno Scárdua
Let $\F$ be a codimension-one holomorphic foliation of degree on $\PP^n$, , admitting an invariant hyperplane . We study the extremal situation in which $S=(H\cap\Si…
On holomorphic -actions
Víctor León, Bruno Scárdua
In this paper we study holomorphic actions of the complex multiplicative group on complex manifolds around a singular (fixed) point. We prove linearization results for the germ of…
On real center singularities of complex vector fields on surfaces
V. León, B. Scárdua
One of the various versions of the classical Lyapunov-Poincaré center theorem states that a nondegenerate real analytic center type planar vector field singularity admits an analyt…
On integral conditions for the existence of first integrals analytic saddle singularities
V. León, B. Scárdua
We study one-parameter analytic integrable deformations of the germ of -type complex saddle singularity given by at the origin $0 \in \mathbb C^2\times \mat…