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Computing the equisingularity type of a pseudo-irreducible polynomial

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.
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https://hal.archives-ouvertes.fr/hal-02354930
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Submitted on : Wednesday, December 1, 2021 - 10:56:14 AM
Last modification on : Friday, January 7, 2022 - 3:32:53 AM

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Adrien Poteaux, Martin Weimann. Computing the equisingularity type of a pseudo-irreducible polynomial. Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2020, 31, pp.435-460. ⟨10.1007/s00200-020-00451-x⟩. ⟨hal-02354930v2⟩

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