Higher cohomology of the pluricanonical bundle is not deformation invariant

Simple item page
dc.creatorHao, Ning
dc.creatorLi, Li
dc.date2006-12-01
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:41Z
dc.date.available2026-07-07T08:54:41Z
dc.descriptionIn this paper, we compute the dimensions of the 1st and 2nd cohomology groups of all the pluricanonical bundles for Hirzebruch surfaces, and the dimensions of the 1st and 2nd cohomology groups of the second pluricanonical bundles for a blow-up of a projective plane along finite many distinct points. Both of them give examples showing that the higher cohomology of the pluricanonical bundle is not deformation invariant.
dc.description7 pages, correct a typo in the abstract of the first version
dc.identifierhttps://arxiv.org/abs/math/0612006
dc.identifierhttp://arxiv.org/abs/math/0612006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146023
dc.subjectAlgebraic Geometry
dc.subject32L10, 14F10
dc.titleHigher cohomology of the pluricanonical bundle is not deformation invariant
dc.typetext

Files

Collections

arXiv