17 citations · 17 across the 1 of their papers we have counts for
13 papers
Quotient curves of the Deligne-Lusztig curve of Suzuki type
Massimo Giulietti, Gábor Korchmáros, Fernando Torres
Inspired by a recent paper of Garcia, Stichtenoth and Xing [2000, Compositio Math. 120, 137--170], we investigate the quotient curves of the Deligne-Lusztig curve associated to the…
On a F_{q^2}-maximal curve of genus q(q-3)/6
Miriam Abdon, Fernando Torres
We show that a F_{q^2}-maximal curve of genus q(q-3)/6 in characteristic three is either a non-reflexive space curve of degree q+1, or it is uniquely determined up to F_{q^2}-isomo…
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…
The approach of St"ohr-Voloch to the Hasse-Weil bound with applications to optimal curves and plane arcs
Fernando Torres
This is an expository paper concerning topics on rational points of curves defined over finite fields based on a paper by St"ohr and Voloch.
On the genus of a maximal curve
Gabor Korchmaros, Fernando Torres
Previous results on genera g of F_{q^2}-maximal curves are improved: (1) Either g\leq (q^2-q+4)/6, or g=\lfloor(q-1)^2/4\rfloor, or g=q(q-1)/2; (2) The hypothesis on the existence…
On complete arcs arising from plane curves
M. Giulietti, F. Pambianco, F. Torres +1
We show that the set of F_q-rational points of either certain Fermat curves or certain F_q-Frobenius non-classical plane curves is a complete (k,d)-arc in P^2(F_q), where k and d a…