We prove an inequality between Hilbert functions of local cohomology modules supported in the homogeneous maximal ideal of standard graded algebras over a field, within the framework of embeddings of posets of Hilbert functions. As a main application, we obtain a positive answer to an analogous of Evans’ Lex-Plus-Power Conjecture for local cohomology and also to some cases of the classical Lex-Plus-Power Conjecture for Betti numbers.
The Lex-Plus-Power inequality for local cohomology modules
SBARRA, ENRICO
2016-01-01
Abstract
We prove an inequality between Hilbert functions of local cohomology modules supported in the homogeneous maximal ideal of standard graded algebras over a field, within the framework of embeddings of posets of Hilbert functions. As a main application, we obtain a positive answer to an analogous of Evans’ Lex-Plus-Power Conjecture for local cohomology and also to some cases of the classical Lex-Plus-Power Conjecture for Betti numbers.File in questo prodotto:
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