6 papers
Galois Towers over Non-prime Finite Fields
Alp Bassa, Peter Beelen, Arnaldo Garcia +1
In this paper we construct Galois towers with good asymptotic properties over any non-prime finite field ; i.e., we construct sequences of function fields $\mathc…
Towers of Function Fields over Non-prime Finite Fields
Alp Bassa, Peter Beelen, Arnaldo Garcia +1
Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bound…
On maximal curves and unramified coverings
Rainer Fuhrmann, Arnaldo Garcia, Fernando Torres
We discuss sufficient conditions for a given curve to be covered by a maximal curve with the covering being unramified; it turns out that the given curve itself will be also maxima…
On maximal curves having classical Weierstrass gaps
Arnaldo Garcia, Fernando Torres
We study geometrical properties of maximal curves having classical Weierstrass gaps.
On maximal curves
Rainer Fuhrmann, Arnaldo Garcia, Fernando Torres
We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field F_{q^2} whose number of F_{q^2}-rational points reaches the Hasse-…
Weierstrass weight of Gorenstein singularities with one or two branches
A. Garcia, R. F. Lax
Let denote an integral, projective Gorenstein curve over an algebraically closed field . In the case when is of characteristic zero, C. Widland and the second author hav…