On branched coverings of some homogeneous spaces

Simple item page
dc.creatorKim, Meeyoung
dc.creatorManivel, Laurent
dc.date1998-06-23
dc.date.accessioned2026-07-07T05:25:10Z
dc.date.available2026-07-07T05:25:10Z
dc.descriptionWe study nonsingular branched coverings of a homogeneous space X. There is a vector bundle associated with such a covering which was conjectured by O. Debarre to be ample when the Picard number of X is one. We prove this conjecture, which implies Barth-Lefschetz type theorems, for lagrangian grassmannians, and for quadrics up to dimension six. We propose a conjectural extension to homogeneous spaces of Picard number larger than one and prove a weaker version.
dc.description22 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9806126
dc.identifierhttp://arxiv.org/abs/math/9806126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77080
dc.subjectAlgebraic Geometry
dc.titleOn branched coverings of some homogeneous spaces
dc.typetext

Files

Collections

arXiv