Special effect varieties and (-1)-curves

dc.creatorBocci, Cristiano
dc.date2004-10-25
dc.date.accessioned2026-07-07T05:13:41Z
dc.date.available2026-07-07T05:13:41Z
dc.descriptionHere we introduce the concept of special effect curve which permits to study, from a different point of view, special linear systems in P^2, i.e. linear system with general multiple base points whose effective dimension is strictly greater than the expected one. In particular we study two different kinds of special effect: the α-special effect is defined by requiring some numerical conditions, while the definition of h^1-special effect concerns cohomology groups. We state two new conjectures for the characterization of special linear systems and we prove they are equivalent to the Segre and the Harbourne-Hirschowitz ones.
dc.descriptionLATEX, 15 pages
dc.identifierhttps://arxiv.org/abs/math/0410527
dc.identifierhttp://arxiv.org/abs/math/0410527
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72996
dc.subjectAlgebraic Geometry
dc.subject14C20 (Primary). 14N05, 14H20, 41A05 (Secondary)
dc.titleSpecial effect varieties and (-1)-curves
dc.typetext

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