LOG-CONCAVE GORENSTEIN SEQUENCES
Copyright policy )LOG-CONCAVE GORENSTEIN SEQUENCES
We show here that codimension three Artinian Gorenstein sequences are log-concave, and that there are codimension four Artinian Gorenstein sequences that are not log-concave. We also show that all level sequences in codimension two, and every compressed level Hilbert function in any codimension is log-concave.
17 p. revised after referee comments
- Northwestern University United States
- Northeastern University United States
- NORTHWESTERN UNIVERSITY United States
- Department of Mathematics Northeastern University United States
- Northwestern University United States
Artinian, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), SI sequence, codimension, log-concave, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), level sequence, Macaulay condition, Gorenstein sequence, Hilbert function, FOS: Mathematics, Commutative Artinian rings and modules, finite-dimensional algebras, Combinatorial aspects of commutative algebra, extremal growth, 13H10 (primary) 13D40 (secondary), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
Artinian, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), SI sequence, codimension, log-concave, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), level sequence, Macaulay condition, Gorenstein sequence, Hilbert function, FOS: Mathematics, Commutative Artinian rings and modules, finite-dimensional algebras, Combinatorial aspects of commutative algebra, extremal growth, 13H10 (primary) 13D40 (secondary), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series
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