On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers

Abstract

Let $(R,\fm)$ be a local ring and $I$ an ideal. The aim of the present paper is twofold. At first we continue the investigation to compare $\fgrade(I,R)$ with $\depth R/I$ and further we derive some results on the vanishing of Lyubeznik numbers.

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References in corpus (3)

• Cohomological and projective dimensions
• On the relationship between depth and cohomological dimension
• On set theoretically and cohomologically complete intersection ideals