Sequentially Cohen-Macaulay modules and local cohomology

By Jürgen Herzog, E. Sbarra. 2001

59 citations recorded by the source corpus.

The main result of the paper states that for a graded ideal I in a polynomial ring R over a field of characteristic 0, the Hilbert functions of the local cohomology modules of R/I and of R/Gin(I) coincide if and only if R/I is sequentially Cohen-Macaulay.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/45961ece7b1bcf5f4d8bf522f3fb237c418a848f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

In Geometry and Topology

Citations in the corpus

On sequentially Cohen-Macaulay complexes and posets (2007, background): “Also in [14] a proof of a homological characterization of sequentially CohenMacaulay modules, originally due to Peskine [17], is given in terms of vanishing Ext-modules.”
Finite filtrations of modules and shellable multicomplexes (2005, background): “lt; dim(M 2/M 1) < ... < dim(M r/M r−1). The module M is called sequentially Cohen-Macaulayif M admits a CM-ﬁltration. We recall a few basic facts whose proof in the graded case can be found in [7], but which are proved word by word in the same way in the local case. Proposition 2.2. Let R be ”