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...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Applicable algebra in engineering, communication and computing Ročník 31; číslo 5-6; s. 435 - 460
Hlavní autoři: Poteaux, Adrien, Weimann, Martin
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Springer Nature B.V
Springer Verlag
Témata:
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
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0938-1279
1432-0622
DOI:10.1007/s00200-020-00451-x