Adjoint line bundles and syzygies of projective varieties

dc.creatorHa, Huy Tai
dc.date2005-01-26
dc.date2007-09-13
dc.date.accessioned2026-07-07T08:29:13Z
dc.date.available2026-07-07T08:29:13Z
dc.descriptionLet X be a smooth projective variety and let K be the canonical divisor of X. In this paper, we study embeddings of X given by adjoint line bundles of the form K+L, where L is an ample line bundle. When X is a regular surface (i.e. H^1(X, O_X) = 0), we obtain a numerical criterion for K+L to have property Np. When X is a regular variety of arbitrary dimension, under a mild condition, we give an explicit calculation for the regularity of the ideal sheaves of such embeddings.
dc.description15 pages; fix a mistake in Lemma 3.5; final version
dc.identifierhttps://arxiv.org/abs/math/0501478
dc.identifierhttp://arxiv.org/abs/math/0501478
dc.identifierVietnam J. Math. (2007), no. 2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137891
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14F17, 13D02, 14J60, 14C20
dc.titleAdjoint line bundles and syzygies of projective varieties
dc.typetext

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