A rigidity property of local cohomology modules
| Autor: | Francesco Strazzanti, Enrico Sbarra |
|---|---|
| Přispěvatelé: | Sbarra E, Strazzanti F |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Pure mathematics Property (philosophy) Mathematics::Commutative Algebra Generalization Betti number Applied Mathematics General Mathematics generic initial ideals Rigidity (psychology) Local cohomology consecutive cancellations Björner-Wachs polynomial Mathematics - Commutative Algebra Commutative Algebra (math.AC) local cohomology partially sequentially Cohen-Macaulay modules FOS: Mathematics Hilbert functions lexicographic ideals 13d45 13a02 13c13 Hilbert functions lexicographic ideals generic initial ideals consecutive cancellations partially sequentially Cohen-Macaulay modules local cohomology Björner-Wachs polynomial Mathematics |
| Popis: | The relationships between the invariants and the homological properties of $I$, ${\rm Gin}(I)$ and $I^{\rm lex}$ 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. |
| Databáze: | OpenAIRE |
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