2 papers
math.DS2026
Curves of tangencies of foliation pairs and normalizing transformations
Jessica Angélica Jaurez-Rosas, Laura Ortiz-Bobadilla, Sergei Voronin
In this work we give a complete description of the collection of curves of tangencies induced by germs of foliation pairs -- non dicritical and dicritical -- given by analytic diff…
math.CA2025
Noetherianity and length of Melnikov functions
Pavao Mardesic, Dmitry Novikov, Laura Ortiz-Bobadilla +1
We study foliations in given by polynomial deformations of the form , with a family of cycles. The \emph{Poincaré first return m…