4 papers · 1 filter
A Eudoxian study of discriminant curves associated to normal surface singularities
Evelia Rosa GarcÃa Barroso, Patrick Popescu-Pampu
Let be a finite morphism from a germ of normal complex analytic surface to the germ of at the origin. We show that the affine al…
Eggers decomposition of polar curves in positive characteristic
Ana Belén de Felipe, Evelia R. GarcÃa 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. GarcÃa 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. GarcÃa 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…