The Hilbert function of a maximal Cohen-Macaulay module. II.

DOI10.1016/j.jpaa.2014.03.012zbMath1297.13020arXivmath/0409051OpenAlexW2047305258MaRDI QIDQ2249251

Tony Joseph Puthenpurakal

Publication date: 10 July 2014

Published in: Mathematische Zeitschrift, Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409051

zbMATH Keywords

complete intersectionMaximal Cohen-Macaulay modulesnon-decreasing of Hilbert function

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14)

Related Items (8)

On the Hilbert function of one-dimensional local complete intersections ⋮ On the theory of generalized Ulrich modules ⋮ Graded derivation modules and algebraic free divisors ⋮ The Hilbert function of a maximal Cohen-Macaulay module. II. ⋮ Growth of Hilbert coefficients of syzygy modules ⋮ Symmetries and connected components of the AR-quiver of a Gorenstein local ring ⋮ A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity ⋮ On the monotonicity of Hilbert functions

Uses Software

• CoCoA

Cites Work

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• The conjecture of Sally on the Hilbert function for curve singularities
• Linear maximal Cohen-Macaulay modules over strict complete intersections
• Modules of finite virtual projective dimension
• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
• A note on the Hilbertfunction of a one-dimensional Cohen-Macaulay ring
• Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers
• Complete intersection dimension
• Hilbert coefficients of a Cohen-Macaulay module.
• The Hilbert function of a maximal Cohen-Macaulay module. II.
• Depth of associated graded rings via Hilbert coefficients of ideals
• Cartesian squares and ordinary singularities of curves
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
• The Coefficients of the Hilbert Polynomial and the Reduction Number of an Ideal
• Hilbert Coefficients and the Depths of Associated Graded Rings

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