Ample families, multihomogeneous spectra, and algebraization of formal schemes

Simple item page
dc.creatorBrenner, Holger
dc.creatorSchroeer, Stefan
dc.date2000-12-11
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:20Z
dc.date.available2026-07-07T08:02:20Z
dc.descriptionGeneralizing homogeneous spectra for rings graded by natural numbers, we introduce multihomogeneous spectra for rings graded by abelian groups. Such homogeneous spectra have the same completeness properties as their classical counterparts, but are possibly nonseparated. We relate them to ample families of invertible sheaves and simplicial toric varieties. As an application, we generalize Grothendieck's Algebraization Theorem and show that formal schemes with certain ample families are algebraizable.
dc.description18 pages. Proof of Proposition 2.5 corrected and related examples included (the irrelevant ideal does not necessarily commute with base change, but its radical does)
dc.identifierhttps://arxiv.org/abs/math/0012082
dc.identifierhttp://arxiv.org/abs/math/0012082
dc.identifierPacific J. Math. 208 (2003), 209-230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129206
dc.subjectAlgebraic Geometry
dc.subject14A15, 14D15, 14F17, 14M25
dc.titleAmple families, multihomogeneous spectra, and algebraization of formal schemes
dc.typetext

Files

Collections

arXiv