1 citations · 1 across the 4 of their papers we have counts for
6 papers
Maximal singular curves over finite fields from elliptic and hyperelliptic curves
Cesar Hilario, Rodrigo Salomão, Renato Vidal Martins
We construct explicit families of maximal singular curves over finite fields. A maximal singular curve is a curve that attains the Aubry-Perret bound, which is the natural extensio…
Non-smooth regular curves via a descent approach
Giuseppe Borelli, Camilo David Dorado Moreira, Rodrigo Salomão
This paper aims to continue the classification of non-smooth regular curves, but over fields of characteristic three. These curves were originally introduced by Zariski as generic…
On the classification of fibrations by genus two singular curves via fibrations by elliptic curves on surfaces
João H. O. Rodrigues, Rodrigo Salomão, Reillon O. C. Santos
In 1944 Zariski discovered that Bertini's theorem on variable singular points is no longer true when we pass from a field of characteristic zero to a field of positive characterist…
Toric polar maps and characteristic classes
Thiago Fassarella, Nivaldo Medeiros, Rodrigo Salomão
Given a hypersurface in a complex projective space, we prove that the multidegrees of its toric polar map agree, up to sign, with the coefficients of the Chern-Schwartz-MacPherson…
The Milnor Number of Plane Branches With Tame Semigroup of Values
Abramo Hefez, João Helder Olmedo Rodrigues, Rodrigo Salomão
The Milnor number of an isolated hypersurface singularity, defined as the codimension of the ideal generated by the partial derivatives of a power series that represents…
The Milnor number of a hypersurface singularity in arbitrary characteristic
Abramo Hefez, João Helder Olmedo Rodrigues, Rodrigo Salomão
The Milnor number of an isolated hypersurface singularity, defined as the codimension of the ideal generated by the partial derivatives of a power series whose zeros rep…