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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…
Relative Cohomology and Deformations of Logarithmic Foliations on Complex Spaces
Víctor León, Bruno Scárdua
We study relative cohomology for logarithmic differential forms and meromorphic forms that are relatively closed with respect to the associated logarithmic foliation. Under suitabl…
Holomorphic and Formal First Integrals for Foliations of Codimension One on Complex Analytic Space Germs
Victor León, Bruno Scárdua
We study holomorphic and formal first integrals for germs of codimension-one holomorphic foliations on normal complex analytic spaces. In dimension two, under the assumption that t…