Qregularity and an Extension of Evans-Griffiths Criterion to Vector Bundles on Quadrics

Simple item page
dc.creatorBallico, Edoardo
dc.creatorMalaspina, Francesco
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:37Z
dc.date.available2026-07-07T09:18:37Z
dc.descriptionHere we define the concept of Qregularity for coherent sheaves on quadrics. In this setting we prove analogs of some classical properties. We compare the Qregularity of coherent sheaves on $\Q_n\subset \mathbb P^{n+1}$ with the Castelnuovo-Mumford regularity of their extension by zero in $\mathbb P^{n+1}$. We also classify the coherent sheaves with Qregularity $-\infty$. We use our notion of Qregularity in order to prove an extension of Evans-Griffiths criterion to vector bundles on Quadrics. In particular we get a new and simple proof of the Knörrer's characterization of ACM bundles.
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/0802.0451
dc.identifierhttp://arxiv.org/abs/0802.0451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154092
dc.subjectAlgebraic Geometry
dc.subject14F05, 14J60
dc.titleQregularity and an Extension of Evans-Griffiths Criterion to Vector Bundles on Quadrics
dc.typetext

Files

Collections

arXiv