Equianalytic and equisingular families of curves on surfaces

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dc.creatorGreuel, Gert-Martin
dc.creatorLossen, Christoph
dc.date1995-03-21
dc.date.accessioned2026-07-07T09:06:24Z
dc.date.available2026-07-07T09:06:24Z
dc.descriptionWe consider flat families of reduced curves on a smooth surface S such that each member C has the same number of singularities of fixed singularity types and the corresponding (locally closed) subscheme H of the Hilbert scheme of S. We are mainly concerned with analytic resp. topological singularity types and give a sufficient condition for the smoothness of H (at C). Our results for S=P^2 seem to be quite sharp for families of cuves of small degree d.
dc.descriptionLaTeX v 2.09
dc.identifierhttps://arxiv.org/abs/alg-geom/9503011
dc.identifierhttp://arxiv.org/abs/alg-geom/9503011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149994
dc.subjectAlgebraic Geometry
dc.titleEquianalytic and equisingular families of curves on surfaces
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