The quantum cohomology of blow-ups of P^2 and enumerative geometry

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dc.creatorGöttsche, Lothar
dc.creatorPandharipande, Rahul
dc.date1996-11-11
dc.date.accessioned2026-07-07T09:07:03Z
dc.date.available2026-07-07T09:07:03Z
dc.descriptionWe compute the Gromov-Witten invariants of the projective plane blown up in r general points. These are determined by associativity from r+1 intial values. Applications are given to the enumeration of rational plane curves with prescribed multiplicities at fixed general points. We show that the numbers are enumerative if at least one of the prescribed multiplicities is 1 or 2. In particular, all the invariants for r<=8 (the Del Pezzo case) are enumerative.
dc.descriptionAMS-LaTeX, 26 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9611012
dc.identifierhttp://arxiv.org/abs/alg-geom/9611012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150233
dc.subjectAlgebraic Geometry
dc.subject14N10, 14H10 (Primary) 14E99 (Secondary)
dc.titleThe quantum cohomology of blow-ups of P^2 and enumerative geometry
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