Algorithm for Finding Singular Points of a General Algebraic Hypersurface

In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed.

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Bibliographic Details
Published inProgramming and computer software Vol. 51; no. 2; pp. 88 - 92
Main Authors Lyapin, A. P., Mikhalkin, E. N.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.04.2025
Springer Nature B.V
Subjects
Algebra
Algorithms
Artificial Intelligence
Cauchy problems
Computer algebra
Computer Science
Conflicts of interest
Hyperspaces
Operating Systems
Ordinary differential equations
Parameterization
Software
Software Engineering
Software Engineering/Programming and Operating Systems
Variables
A-discriminant
parameterization of the A-discriminant set
A-discriminant set
singular points of a general algebraic hypersurface
Online AccessGet full text
ISSN0361-7688
1608-3261
DOI10.1134/S0361768824700889

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Summary:In this paper, an algorithm for calculating the parameterization of the Horn–Kapranov -discriminant set and singular points of an algebraic hypersurface, using the Maple computer algebra system, is proposed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0361-7688
1608-3261
DOI:10.1134/S0361768824700889