Equisingular Deformations of Plane Curve and of Sandwiched Singularities

dc.creatorde Jong, Theo
dc.date2000-11-15
dc.date2000-12-29
dc.date.accessioned2026-07-07T04:38:35Z
dc.date.available2026-07-07T04:38:35Z
dc.descriptionLet $C$ be an isolated plane curve singularity, and $(C,l)$ be a decorated curve. In this article we compare the equisingular deformations of $C$ and the sandwiched singularity $X(C,l)$. We will prove that for $l \gg 0$ the functor of equisingular deformations of $C$ and $(C,l)$ are equivalent. From this we deduce a proof of a formula for the dimension of the equisingular stratum. Furthermore we will show how compute the equisingularity ideal of the curve singularity $C$, given the minimal (good) resolution of $C$.
dc.description19 pages, Latex, added references, added section
dc.identifierhttps://arxiv.org/abs/math/0011097
dc.identifierhttp://arxiv.org/abs/math/0011097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60339
dc.subjectAlgebraic Geometry
dc.subject32s15, 14B07
dc.titleEquisingular Deformations of Plane Curve and of Sandwiched Singularities
dc.typetext

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