Weierstrass points and curves over finite fields

Proceedings of the London Mathematical Society

Volumn s3-52, Issue 1, 1986, Pages 1-19

  Stöhr, Karl Otto ^a   Voloch, José Felipe ^b  

^a IMPA   (Brazil)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84963036457     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/plms/s3-52.1.1     Document Type: Article

References (12)

1. E. BOMBIERI, 'Hubert's 8th problem: an analogue', Proceedings of Symposia in Pure Mathematics 28 (ed. F. Browder, American Mathematical Society, Providence, R.I., 1976), pp. 269-274.
2. V. D. GOPPA, 'Algebraico-geometric codes', Math. USSR-Izv., 21 (1983), 75-91.
3. K. KOMIYA, 'Algebraic curves with non-classical types of gap sequences for genus three and four', Hiroshima Math. J., 8 (1978), 371-400.
4. D. LAKSOV, 'Weierstrass points on curves', Astérisque 87-88 (Société Mathématique de France, Paris, 1981), pp. 221-247.
5. A. NEEMAN, 'Weierstrass points in characteristic p', Invent. Math., 75 (1984), 359-376.
6. F. K. SCHMIDT, 'Zur arithmetischen Theorie der algebraischen Funktionen II. Allgemeine Theorie derWeierstrasspunkte', Math. Z., 45 (1939), 75-96.
7. W. M. SCHMIDT, Equations over finite fields, an elementary approach, Lecture Notes in Mathematics 536 (Springer, Berlin, 1976).
8. J.-P. SERRE, Nombres de points des courbes algebriques sur Fq, Séminaire de Théorie des Nombres de Bordeaux, Année 1982-1983, exposé n° 22.
9. J.-P. SERRE, 'Sur le nombre des points rationnels d'une courbe algebrique sur un corps fini', C. R. Acad.Sci. Paris Ser. I Math., 296 (1983), 397-402.
10. H. STARK, 'On the Riemann hypothesis in hyperelliptic function fields', Proceedings of Symposia in Pure Mathematics 24 (ed. F. Browder, American Mathematical Society, Providence, R.I., 1973), pp.285-302.
11. H. STICHTENOTH, Algebraische Funktionenkörper einer Variablen, Vorlesungen aus dem Fachbereich Mathematik der Universität Essen 1 (1978).
12. A. WEIL, Courbes algebriques et variétés abéliennes (Hermann, Paris, 1971).