Local polar invariants and the Poincaré problem in the dicritical case
Local polar invariants and the Poincaré problem in the dicritical case
We develop a study on local polar invariants of planar complex analytic foliations at $(\mathbb{C}^{2},0)$, which leads to the characterization of second type foliations and of generalized curve foliations, as well as to a description of the $GSV$-index. We apply it to the Poincaré problem for foliations on the complex …