Artículos de revistas
Curves Covered By The Hermitian Curve
Registro en:
Finite Fields And Their Applications. , v. 12, n. 4, p. 539 - 564, 2006.
10715797
10.1016/j.ffa.2004.10.003
2-s2.0-33748758233
Autor
Giulietti M.
Hirschfeld J.W.P.
Korchmaros G.
Torres F.
Institución
Resumen
A family of maximal curves is investigated that are all quotients of the Hermitian curve. These curves provide examples of curves with the same genus, the same automorphism group and the same Weierstrass semigroup at a generic point, but that are not isomorphic. © 2004 Elsevier Inc. All rights reserved. 12 4 539 564 Abdón, M., Garcia, A., On a characterization of certain maximal curves (2004) Finite Fields Appl., 10, pp. 133-158 Aubry, Y., Perret, M., Divisibility of zeta functions of curves in a covering (2004) Arch. Math., 82, pp. 205-213 Cossidente, A., Hirschfeld, J.W.P., Korchmáros, G., Torres, F., On plane maximal curves (2000) Compositio Math., 121, pp. 163-181 Cossidente, A., Korchmáros, G., Torres, F., On curves covered by the Hermitian curve (1999) J. Algebra, 216, pp. 56-76 Cossidente, A., Korchmáros, G., Torres, F., Curves of large genus covered by the Hermitian curve (2000) Comm. Algebra, 28, pp. 4707-4728 Fuhrmann, R., Garcia, A., Torres, F., On maximal curves (1997) J. Number Theory, 67, pp. 29-51 Garcia, A., Stichtenoth, H., Xing, C.P., On subfields of the Hermitian function field (2000) Compositio Math., 120, pp. 137-170 Garcia, A., Viana, P., Weierstrass points on certain non-classical curves (1986) Arch. Math., 46, pp. 315-322 Korchmáros, G., Torres, F., Embedding of a maximal curve in a Hermitian variety (2001) Compositio Math., 128, pp. 95-113 Lachaud, G., Sommes d'Eisenstein et nombre de points de certaines courbes algébriques sur les corps finis (1987) C.R. Acad. Sci. Paris Sér. I, 305, pp. 729-732 Roquette, P., Abschätzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik (1970) Math. Z., 117, pp. 157-163 Schmid, H.L., Über die Automorphismen einen algebraische Funktionenkörpers von Primzahlcharakteristik (1938) J. Reine Angew. Math., 175, pp. 5-15 Stichtenoth, H., (1993) Algebraic Function Fields and Codes, , Springer, Berlin Stöhr, K.O., Voloch, J.F., Weierstrass points and curves over finite fields (1986) Proc. London Math. Soc., 52, pp. 1-19