3 citations · 4 across the 7 of their papers we have counts for
7 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…
A class of geometrically elliptic fibrations by plane projective quartic curves
Cesar Hilario, Karl Otto Stöhr
We investigate fibrations by non-hyperelliptic curves of arithmetic genus three and geometric genus one in characteristic two. Assuming that there is only one moving singularity an…
Fibrations by plane projective rational quartic curves in characteristic two
Cesar Hilario, Karl-Otto Stöhr
We give a complete classification, up to birational equivalence, of all fibrations by plane projective rational quartic curves in characteristic two.
Turning non-smooth points into rational points
Cesar Hilario
In a recent paper, the author and Stöhr established a bound on the number of iterated Frobenius pullbacks needed to transform a non-smooth purely inseparable point on a regular geo…
Fibrations by plane quartic curves with a canonical moving singularity
Cesar Hilario, Karl-Otto Stöhr
We classify fibrations by integral plane projective rational quartic curves whose generic fibre is regular but admits a non-smooth point that is a canonical divisor. These fibratio…
Generalizations of quasielliptic curves
Cesar Hilario, Stefan Schröer
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves ha…
On regular but non-smooth integral curves
Cesar Hilario, Karl-Otto Stöhr
Let be a regular geometrically integral curve over an imperfect field and assume that it admits a non-smooth point which -- seen as a prime of the separable…