Absolute and relative Gromov-Witten invariants of very ample hypersurfaces

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dc.creatorGathmann, Andreas
dc.date1999-08-12
dc.date.accessioned2026-07-07T05:30:16Z
dc.date.available2026-07-07T05:30:16Z
dc.descriptionFor any smooth complex projective variety X and smooth very ample hypersurface Y in X, we develop the technique of genus zero relative Gromov-Witten invariants of Y in X in algebro-geometric terms. We prove an equality of cycles in the Chow groups of the moduli spaces of relative stable maps that relates these relative invariants to the Gromov-Witten invariants of X and Y. Given the Gromov-Witten invariants of X, we show that these relations are sufficient to compute all relative invariants, as well as all genus zero Gromov-Witten invariants of Y whose homology and cohomology classes are induced by X.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/9908054
dc.identifierhttp://arxiv.org/abs/math/9908054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78940
dc.subjectAlgebraic Geometry
dc.titleAbsolute and relative Gromov-Witten invariants of very ample hypersurfaces
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