Algorithm for Finding Singular Points of a General Algebraic Hypersurface

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

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Publication Details

Journal
Programming and Computer Software
Published
2025-03-25
DOI
https://doi.org/10.1134/s0361768824700889
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Algorithm for Finding Singular Points of a General Algebraic Hypersurface

A. P. Lyapin, E. N. Mikhalkin
Programming and Computer Software
Polynomial and algebraic computation
article

Algorithm for Finding Singular Points of a General Algebraic Hypersurface

A. P. Lyapin, E. N. Mikhalkin
article en

Abstract

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

Programming and Computer SoftwareVol. 51(2)
Krasnoyarsk State Pedagogical University (RU), Shenzhen MSU-BIT University, Siberian Federal University (RU)
Climate action
Openalex Percentile: Top 93%
Polynomial and algebraic computation
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