3 papers
math.CV2026
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…
math.CV2026
Relative Cohomology and Deformations of Logarithmic Foliations on Complex Spaces
Vítor 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…
math.CV2026
On meromorphic pencils, cusp singularities and holomorphic foliations in the complex plane
Bruno Scardua
We study polynomial holomorphic -forms in that are homologically trivial along the fibers of meromorphic pencils of the form where …