NUMBER OF RATIONAL-POINTS OF A SINGULAR CURVE

Authors
GALINDO WAZ
Citation
Waz. Galindo, NUMBER OF RATIONAL-POINTS OF A SINGULAR CURVE, Proceedings of the American Mathematical Society, 126(9), 1998, pp. 2549-2556
Citations number
9
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
9
Year of publication
1998
Pages
2549 - 2556
Database
ISI
SICI code
0002-9939(1998)126:9<2549:NOROAS>2.0.ZU;2-E
Abstract
In this paper, we give a bound for the number of rational points of a complete, geometrically irreducible, algebraic curve defined over a fi nite held. We compare it with other known bounds and discuss its sharp ness. We also show that the asymptotic Drinfeld-Vladut bound can be ge neralized to the case of singular curves.