Computing the equisingularity type of a pseudo-irreducible polynomial

Germs of plane curve singularities can be classified accordingly to their equisingularity type. For singularities over C , this important data coincides with the topological class. In this paper, we characterise a family of singularities, containing irreducible ones, whose equisingularity type can b...

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Published in:Applicable algebra in engineering, communication and computing Vol. 31; no. 5-6; pp. 435 - 460
Main Authors: Poteaux, Adrien, Weimann, Martin
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Springer Nature B.V
Springer Verlag
Subjects:
Algebraic Geometry
Artificial Intelligence
Commutative Algebra
Computer Hardware
Computer Science
Curves
Mathematics
Original Paper
Polynomials
Singularity (mathematics)
Symbolic and Algebraic Manipulation
Symbolic Computation
Theory of Computation
68W30
Equisingularity
Plane curves
14Q20
12Y05
Approximate roots
13P05
Polynomials
Pseudo-irreduibility
ISSN:0938-1279, 1432-0622
Online Access:Get full text
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Summary:Germs of plane curve singularities can be classified accordingly to their equisingularity type. For singularities over C , this important data coincides with the topological class. In this paper, we characterise a family of singularities, containing irreducible ones, whose equisingularity type can be computed in an expected quasi-linear time with respect to the discriminant valuation of a Weierstrass equation.
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ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-020-00451-x