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Computing the equisingularity type of a pseudo-irreducible polynomial
- Source :
- Applicable Algebra in Engineering, Communication and Computing, Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩, Applicable Algebra in Engineering, Communication and Computing, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩
- Publication Year :
- 2019
-
Abstract
- 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 quasi-linear time with respect to the discriminant valuation of a Weierstrass equation.<br />26 pages. arXiv admin note: substantial text overlap with arXiv:1904.00286
- Subjects :
- Pure mathematics
Class (set theory)
Plane curve
[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC]
0102 computer and information sciences
02 engineering and technology
Type (model theory)
01 natural sciences
Mathematics - Algebraic Geometry
Mathematics::Algebraic Geometry
0202 electrical engineering, electronic engineering, information engineering
FOS: Mathematics
[INFO]Computer Science [cs]
[MATH]Mathematics [math]
Algebraic Geometry (math.AG)
14Q20, 12Y05, 13P05, 68W30
Computer Science::Databases
Mathematics
[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]
Algebra and Number Theory
Mathematics::Commutative Algebra
Irreducible polynomial
Mathematics::Complex Variables
Applied Mathematics
020206 networking & telecommunications
Discriminant
010201 computation theory & mathematics
Theory of computation
Gravitational singularity
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Valuation (measure theory)
Subjects
Details
- Language :
- English
- ISSN :
- 09381279 and 14320622
- Database :
- OpenAIRE
- Journal :
- Applicable Algebra in Engineering, Communication and Computing, Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩, Applicable Algebra in Engineering, Communication and Computing, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩
- Accession number :
- edsair.doi.dedup.....f39689224ee43d5c8793222aaceb61c9