Euler number of the compactified Jacobian and multiplicity of rational curves

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dc.creatorFantechi, Barbara
dc.creatorGöttsche, Lothar
dc.creatorvan Straten, Duco
dc.date1997-08-14
dc.date.accessioned2026-07-07T09:07:22Z
dc.date.available2026-07-07T09:07:22Z
dc.descriptionWe show that the Euler number of the compactified Jacobian of a rational curve $C$ with locally planar singularities is equal to the multiplicity of the $δ$-constant stratum in the base of a semi-universal deformation of $C$. In particular, the multiplicity assigned by Yau, Zaslow and Beauville to a rational curve on a K3 surface $S$ coincides with the multiplicity of the normalisation map in the moduli space of stable maps to $S$.
dc.descriptionLaTeX, 16 pages with 1 figure
dc.identifierhttps://arxiv.org/abs/alg-geom/9708012
dc.identifierhttp://arxiv.org/abs/alg-geom/9708012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150348
dc.subjectAlgebraic Geometry
dc.titleEuler number of the compactified Jacobian and multiplicity of rational curves
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