4 papers
Nilpotent Holomorphic Foliations on
Evelia R. García Barroso, Hernán Neciosup-Puican
In this paper, we study nilpotent holomorphic foliations in complex dimension , at the origin, defined by germs of integrable 1-forms whose linear part is given by \(zdz\). Th…
Eggers decomposition of polar curves in positive characteristic
Ana Belén de Felipe, Evelia R. García Barroso, Janusz Gwoździewicz
Let be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read fro…
Lotuses as computational architectures
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
Lotuses are certain types of finite contractible simplicial complexes, obtained by identifying vertices of polygons subdivided by diagonals. As we explained in a previous paper, ea…
The topology of the generic polar curve and the Zariski invariant for branches of genus one
Evelia R. García Barroso, Marcelo E. Hernandes, M. Fernando Hernández Iglesias
We study, for plane complex branches of genus one, the topological type of its generic polar curve, as a function of the semigroup of values and the Zariski invariant of the branch…