3. Producción
Browse
3 results
Search Results
- Some of the metrics are blocked by yourconsent settings
Item type:Publication, Differentiable invariants of holomorphic foliations(Springer Science and Business Media Deutschland GmbH, 2022-12-01)In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of P2 are differentiably rigid. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Generalized Poincaré-Dulac singularities of holomorphic foliations(Springer, 2024-12-01)In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in (C2,0), those exhibiting a Poincaré-Dulac type singularity in their reduction process. This analytic classification is based in the holonomy of a certain component of the exceptional divisor. Finally, as a consequence, we show that these singularities exhibit a formal analytic rigidity. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On Briançon–Skoda Theorem for Foliations(Elsevier GmbH, 2023-12-01)We generalize Mattei's result relative to the Briançon–Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relationships between the Milnor and Tjurina numbers of foliations of second type, inspired by the results obtained by Liu for complex hypersurfaces and we determine a lower bound for the global Tjurina number of an algebraic curve.