Effective construction of irreducible curve singularities

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dc.creatorAssi, Abdallah
dc.creatorBarile, Margherita
dc.date2005-07-07
dc.date.accessioned2026-07-07T05:21:28Z
dc.date.available2026-07-07T05:21:28Z
dc.descriptionWe can associate with any irreducible curve singularity (ics) a numerical semigroup. Two ics are said to be equisingular if they have the same semigroup. Two equisingular ics have the same Milnor number. Conversely, The set of ics with a given Milnor number is a union of equisingular classes. Here we study ics from an algorithmic viewpoint, by using the notion of approximate roots. We give two algorithms: the first one constructs the canonical equation of a curve with a given semigroup. The second one gives the set of semigroups with a fixed Milnor number. The paper is backed by Maple and Mathematica programs which are available upon request.
dc.description20 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0507135
dc.identifierhttp://arxiv.org/abs/math/0507135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75703
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject32S15, 68W30
dc.titleEffective construction of irreducible curve singularities
dc.typetext

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