Counting Singular Plane Curves Via Hilbert Schemes

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dc.creatorRussell, Heather
dc.date2000-11-24
dc.date2001-01-14
dc.date.accessioned2026-07-07T04:38:50Z
dc.date.available2026-07-07T04:38:50Z
dc.descriptionWe give a method of counting the number of curves with a given type of singularity in a suitably ample linear series on a smooth surface using punctual Hilbert schemes. The types of singulaties for which our methods suffice include the topological type with local equation x^a +y^b with b-1 < a < 3b+1. We work out the example of curves with the analytic type of singularity with local equation x^2+y^n for 1<n<9.
dc.descriptionexamples added, some results strengthened, some minor errors corrected, some expositional changes
dc.identifierhttps://arxiv.org/abs/math/0011214
dc.identifierhttp://arxiv.org/abs/math/0011214
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60436
dc.subjectAlgebraic Geometry
dc.subject14N10
dc.titleCounting Singular Plane Curves Via Hilbert Schemes
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