Geometry on nodal curves II: cycle map and intersection calculus

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dc.creatorRan, Ziv
dc.date2004-10-05
dc.date.accessioned2026-07-07T05:12:54Z
dc.date.available2026-07-07T05:12:54Z
dc.descriptionWe study the relative Hilbert scheme of a family of nodal (or smooth) curves via its (birational) cycle map, going to the relative symmetric product. We show the cycle map is the blowing up of the discriminant locus, which consists of cycles with multiple points. We derive an intersection calculus for Chern classes of tautological bundles on the relative Hilbert scheme, which has applications to enumerative geometry.
dc.description32 pages amstex
dc.identifierhttps://arxiv.org/abs/math/0410120
dc.identifierhttp://arxiv.org/abs/math/0410120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72756
dc.subjectAlgebraic Geometry
dc.subject14N10, 14C05
dc.titleGeometry on nodal curves II: cycle map and intersection calculus
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