\(L\)-functions of singular curves over finite fields
type: Item
instance of: scholarly article
title: \(L\)-functions of singular curves over finite fields
zbMATH Open document ID: 0992.14007
author: Francis N. Castro
author: Carlos Julio Moreno
published in: Journal of Number Theory
publication date: 2001-02-06T00:00:00Z
review text: The authors introduce \(L\)-functions associated to an abelian covering of algebraic curves with singularities. Their construction is based on Stöhr's interpretation of the characteristic polynomial of the Cartier operator (acting on the quotient of regular differentials) as a singular part of the zeta-function [\textit{K.-O. Stöhr}, Bol. Soc. Bras. Mat., Nova Sér. 24, 105--236 (1993; Zbl 0788.14020)]. The main result (theorem 4) is the compatibility with the zeta function of a singular curve.
Mathematics Subject Classification ID: 14G15
Mathematics Subject Classification ID: 11G20
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14G10
zbMATH DE Number: 1533161
zbMATH Keywords: singular algebraic curve
zbMATH Keywords: \(L\)-function
zbMATH Keywords: abelian covering
reviewed by: Andrzej Dąbrowski
MaRDI profile type: Publication
full work available at URL: jnth.2000.2530
OpenAlex ID: W1974926277
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DOI: 10.1006/JNTH.2000.2530
description: scientific article; zbMATH DE number 1533161