Regularity and non-emptyness of linear systems in $\mathbb P^n$

Simple item page
dc.creatorDumnicki, Marcin
dc.date2008-02-07
dc.date.accessioned2026-07-07T09:19:14Z
dc.date.available2026-07-07T09:19:14Z
dc.descriptionThe main goal of this paper is to present a new algorithm bounding the regularity and ``alpha'' (the lowest degree of existing hypersurface) of a linear system of hypersurfaces (in $\mathbb P^n$) passing through multiple points in general position. To do the above we formulate and prove new theorem, which allows to show non-specialty of linear system by splitting it into non-special (and simpler) systems. As a result we give new bounds for multiple point Seshadri constants on $\PP^2$.
dc.description11 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0802.0925
dc.identifierhttp://arxiv.org/abs/0802.0925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154317
dc.subjectAlgebraic Geometry
dc.subject14H50; 13P10
dc.titleRegularity and non-emptyness of linear systems in $\mathbb P^n$
dc.typetext

Files

Collections

arXiv