The homological degree of a module

DOI10.1090/S0002-9947-98-02127-8zbMath0903.13007MaRDI QIDQ4382959

Vasconcelos, Wolmer V.

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Castelnuovo-Mumford regularitygeometric degreegraded modulehomological degreearithmetic degreeGorenstein graded algebra

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)

Related Items (22)

Castelnuovo-Mumford regularity and extended degree ⋮ On the number of generators of modules of homomorphisms ⋮ The Chern coefficients of local rings ⋮ Castelnuovo-Mumford regularity of canonical and deficiency modules ⋮ Sectional genera of parameter ideals ⋮ When does a perturbation of the equations preserve the normal cone? ⋮ The first Euler characteristics versus the homological degrees ⋮ Lech's inequality, the Stückrad-Vogel conjecture, and uniform behavior of Koszul homology ⋮ Small perturbations in generalized Cohen-Macaulay local rings ⋮ Ulrich ideals and modules ⋮ The second Hilbert coefficients and the homological torsions of parameters ⋮ Length Complexity of Tensor Products ⋮ Maximal Hilbert functions ⋮ Comparing Castelnuovo-Mumford regularity and extended degree: The borderline cases ⋮ The theory of ordinal length ⋮ Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules ⋮ Extended degree functions and monomial modules ⋮ Sequences that Preserve the Homological Degree ⋮ ON A FAMILY OF COHOMOLOGICAL DEGREES ⋮ Asymptotic Lech's inequality ⋮ Gröbner Degenerations ⋮ The Chern numbers and Euler characteristics of modules

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• Bounds for the minimum numbers of generators of generalized Cohen- Macaulay ideals
• Bounds for numbers of generators of Cohen-Macaulay ideals
• Prestable ideals
• Some features of \(CoCoA 3\)
• Bounds on degrees of projective schemes
• Towards a theory of arithmetic degrees
• Connectedness of Hilbert scheme
• Generators of ideals and multiplicities
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• What can be computed in algebraic geometry?

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