On the enumeration of rational plane curves with tangency conditions

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dc.creatorCadman, Charles
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:19:42Z
dc.date.available2026-07-07T06:19:42Z
dc.descriptionWe use twisted stable maps to answer the following question. Let E\subset P^2 be a smooth cubic. How many rational degree d curves pass through a general points of E, have b specified tangencies with E and c unspecified tangencies, and pass through 3d-1-a-2b-c general points of P^2? The answer is given as a generalization of Kontsevich's recursion. We also investigate more general enumerative problems of this sort, and prove an analogue of a formula of Caporaso and Harris.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0509671
dc.identifierhttp://arxiv.org/abs/math/0509671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95118
dc.subjectAlgebraic Geometry
dc.subject14N10
dc.titleOn the enumeration of rational plane curves with tangency conditions
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