7 papers
Asymptotic flag geometry of complex Kleinian groups in
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
We organize several natural notions of limit set for discrete subgroups of around a common asymptotic structure encoded by pseudo--projective degenerat…
Holomorphic Linear $\C^k$-Actions, Trace Foliations, and Higher-Rank Poincaré Dynamics
Aubin Arroyo, Carlos Cabrera, José Seade +1
We study the orbit decomposition on $\C^n$ generated by diagonal holomorphic $\C^k$-actions in the higher-rank setting of the classical Poincaré--Siegel dichotomy for linear vecto…
Generic vector fields on isolated complex hypersurface germs
Diogo da Silva Machado, Jose Seade
We study holomorphic vector fields on isolated hypersurface singularities and derive global obstructions to the existence of holomorphic vector fields on compact singular varieties…
Non-degenerate mixed maps and contact structures
Inácio Rabelo, José Seade
We study the geometry and topology of real analytic maps , where , regarded as mixed maps, defined below. Firstly, we give two natural familie…
On the connectedness of the singular set of holomorphic foliations
Omegar Calvo-Andrade, MaurÃcio Corrêa, Marcos Jardim +1
Let be a singular holomorphic foliation of dimension on a projective -manifold . Assume that the determinant of the normal sheaf of is ample…
On the topology of complex map-germs and a general Lê-Greuel formula
Lê Dũng Tráng, Juan J. Nuño-Ballesteros, José Seade
Consider a singular holomorphic map-germ where is a singular complex analytic variety in , and another holomorphic map-ger…