Linear systems in $\mathbb{P}^2$ with base points of bounded multiplicity

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dc.creatorYang, Stephanie
dc.date2004-06-29
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:41:06Z
dc.date.available2026-07-07T12:41:06Z
dc.descriptionWe present a proof of the Harbourne-Hirschowitz conjecture for linear systems with base points of multiplicity seven or less. This proof uses a well-known degeneration of the projective plane, as well as a combinatorial technique that arises from specializing points onto a line.
dc.descriptionNo major changes. Fixed about a dozen typos and updated journal information
dc.identifierhttps://arxiv.org/abs/math/0406591
dc.identifierhttp://arxiv.org/abs/math/0406591
dc.identifierJ. Algebraic Geom. 16 (2007), 19-38
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219657
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14H50 (Primary) 14N15 (Secondary)
dc.titleLinear systems in $\mathbb{P}^2$ with base points of bounded multiplicity
dc.typetext

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