Abstract

There have been some attempts to obtain upper bounds on the Castelnuovo–Mumford regularity in terms of the basic invariants of graded modules and projective varieties. This paper studies the regularity bounds from the viewpoint of Koszul cohomology and standard ideals, which originated from the study of Buchsbaum rings. We investigate the behaviour of the v-Buchsbaum property, which measures the annihilators of the intermediate local cohomologies of graded modules, to get a new bound under the linearly v-Buchsbaum condition.

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