19 citations · 21 across the 5 of their papers we have counts for
5 papers
Irreducible holonomy groups and Riccati foliations in higher complex dimension
V. León, M. Martelo, B. Scárdua
We study groups of germs of complex diffeomorphisms having a property called irreducibility. The notion is motivated by a similar property of the fundamental group of the complemen…
Irreducible holonomy groups and first integrals for holomorphic foliations
V. León, M. Martelo, B. Scárdua
We study groups of germs of complex diffeomorphisms having a property called irreducibility. The notion is motivated by the similar property of the fundamental group of the complem…
Integrating factors for groups of formal complex diffeomorphisms
Mitchael Martelo, Bruno Scardua
We study groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomo…
Derived length of solvable groups of local diffeomorphisms
Mitchael Martelo, Javier Ribón
Let be a solvable subgroup of the group $\diff{}{n}$ of local complex analytic diffeomorphisms. Analogously as for groups of matrices we bound the solvable length of by a f…
Groups of formal diffeomorphisms in several complex variables and closed one-forms
Mitchael Martelo, Bruno Scardua
We study groups of formal diffeomorphisms in several complex variables. For abelian, metabelian or nilpotent groups we investigate the existence of suitable formal vector fields an…