On the projective normality and normal presentation on higher dimensional varieties with nef canonical bundle

[摘要] In this article we prove new results on projective normality and normal presentation of adjunction bundle associated to an ample and globally generated line bundle on higher dimensional smooth projective varieties with nef canonical bundle. As one of the consequences of the main theorem, we give bounds on very ampleness and projective normality of pluricanonical linear systems on varieties of general type in dimensions three, four and five. These improve known such results. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] Algebraic geometry;Syzygies;Projective normality;Normal presentation;Higher dimensional varieties with nef canonical bundle;Fujita's conjecture;Pluricanonical linear systems on varieties of general type