An algorithm to calculate discrete invariants of singular primes in function fields
type: Item
instance of: scholarly article
title: An algorithm to calculate discrete invariants of singular primes in function fields
zbMATH Open document ID: 0628.14027
DOI: 10.1016/0022-314X(87)90070-9
author: Hernando Bedoya
author: Karl-Otto Stöhr
published in: Journal of Number Theory
publication date: 1987-01-01T00:00:00Z
review text: The authors consider a function field F in one variable over K a separably closed field of positive characteristic \(p>0,\) and a singular curve with F as field of fractions and they extend the coefficients of this curve to the algebraic closure of K, then they associate as usual the semigroup of the curve and numerical invariants like the number of gaps in the semigroup (singlarity degree, noted by \(\delta\) in general). They study some properties of semigroups in this particular situation. The reader interested in this topics should read the appendix by \textit{B. Teissier} to the book of \textit{O. Zariski} ``Le problème des modules pour les branches planes'' (Paris 1986; Zbl 0592.14010).
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 11R58
zbMATH DE Number: 4021334
zbMATH Keywords: characteristic p
zbMATH Keywords: semigroup of the curve
zbMATH Keywords: gaps
reviewed by: Marcel Morales
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4021334