The relationships between the homological properties and the invariants of I, Gin(I) and I^lex have been studied extensively over the past decades. A result of A. Conca, J. Herzog and T. Hibi points out some rigid behaviours of their Betti numbers. In this work we establish a local cohomology counterpart of their theorem. To this end, we make use of properties of sequentially Cohen-Macaulay modules and we study a generalization of such concept by introducing what we call partially sequentially Cohen-Macaulay modules, which might be of interest by themselves.

A rigidity property of local cohomology modules

Strazzanti F
2017-01-01

Abstract

The relationships between the homological properties and the invariants of I, Gin(I) and I^lex have been studied extensively over the past decades. A result of A. Conca, J. Herzog and T. Hibi points out some rigid behaviours of their Betti numbers. In this work we establish a local cohomology counterpart of their theorem. To this end, we make use of properties of sequentially Cohen-Macaulay modules and we study a generalization of such concept by introducing what we call partially sequentially Cohen-Macaulay modules, which might be of interest by themselves.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1110259
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