Negative curves on very general blow-ups of P^2

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dc.creatorde Fernex, Tommaso
dc.date2005-12-29
dc.date.accessioned2026-07-07T06:55:52Z
dc.date.available2026-07-07T06:55:52Z
dc.descriptionA conjecture, related to the Nagata conjecture and the Segre-Harbourne-Gimigliano-Hirschowitz conjecture, states that every integral curve with negative self-intersection on the blow-up of $¶^2$ at a set of points in very general position is a (-1)-curve. In this paper we verify this conjecture for all curves whose image on $¶^2$ is a curve with a singularity of multiplicity two at one of the centers of the blow-up.
dc.identifierhttps://arxiv.org/abs/math/0512631
dc.identifierhttp://arxiv.org/abs/math/0512631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106422
dc.subjectAlgebraic Geometry
dc.subject14C20; 14J25
dc.titleNegative curves on very general blow-ups of P^2
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