On algebraic curves over a finite field with many rational points
type: Item
instance of: scholarly article
title: On algebraic curves over a finite field with many rational points
zbMATH Open document ID: 0983.11035
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2000-12-20T00:00:00Z
review text: The paper deals with bounds for the number of rational points over finite fields for algebraic curves having a plane model (possibly with singularities) defined over the finite field in question. It is a natural continuation of the work of \textit{J. W. P. Hirschfeld} and \textit{G. Korchmáros} [Bull. Belg. Math. Soc.-Simon Stevin 5, 313-340 (1998; Zbl 0924.11053)]. The main ingredient here is Stöhr-Voloch theory of Frobenius orders of a morphism [\textit{K.-O. Stöhr} and \textit{J. F. Voloch}, Proc. Lond. Math. Soc. (3) 52, 1-19 (1986; Zbl 0593.14020)].
reviewed by: Arnaldo Garcia
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 1547307
zbMATH Keywords: finite fields
zbMATH Keywords: rational points
zbMATH Keywords: algebraic curves
zbMATH Keywords: plane model
zbMATH Keywords: Stöhr-Voloch theory
zbMATH Keywords: Frobenius orders
author: Angela Aguglia
author: Gabor Korchmáros
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1547307