On birational Macaulayfications and Cohen-Macaulay canonical modules

DOI10.1016/j.jalgebra.2003.12.016zbMath1103.13014OpenAlexW1981629777MaRDI QIDQ1883037

Peter Schenzel

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.12.016

zbMATH Keywords

canonical modulesbirational Macaulayficationmodules of deficiency

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14)

Related Items (30)

Canonical modules of complexes ⋮ Lyubeznik numbers of almost complete intersection and linked ideals ⋮ Lyubeznik Table of Sequentially Cohen–Macaulay Rings ⋮ On invariants and endomorphism rings of certain local cohomology modules ⋮ On theS₂-Fication of Some Toric Varieties ⋮ Castelnuovo-Mumford regularity of canonical and deficiency modules ⋮ Unnamed Item ⋮ Notes on endomorphisms, local cohomology and completion ⋮ Certain endomorphism rings of local cohomology modules and Lyubeznik numbers ⋮ Castelnuovo–Mumford Regularity of Some Modules ⋮ Canonical modules and class groups of Rees-like algebras ⋮ On canonical Cohen-Macaulay modules ⋮ Generalized Serre conditions and perverse coherent sheaves ⋮ Lyubeznik and Betti numbers for homogeneous ideals ⋮ Non Cohen-Macaulay locus of canonical modules ⋮ On formal local cohomology and connectedness ⋮ When does the canonical module of a module have finite injective dimension? ⋮ On cohomologically complete intersection modules ⋮ On cohomologically complete intersections ⋮ Tilting, cotilting, and spectra of commutative noetherian rings ⋮ Perverse coherent sheaves and the geometry of special pieces in the unipotent variety. ⋮ On connectedness and indecomposibility of local cohomology modules ⋮ On endomorphism rings and dimensions of local cohomology modules ⋮ Hilbert–Samuel multiplicity and Northcott’s inequality relative to an Artinian module ⋮ On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals ⋮ On the structure of the endomorphism ring of a certain local cohomology module ⋮ Some criteria for the Cohen-Macaulay property and local cohomology ⋮ Castelnuovo-Mumford regularity of deficiency modules ⋮ Gröbner Degenerations ⋮ On Generalized Cohen–Macaulay Canonical Modules

Cites Work

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• On the endomorphism ring of the canonical module
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• Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
• Syzygies of codimension 2 lattice ideals
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• The finiteness of certain sets of attached prime ideals and the length of generalized fractions.
• Equations of monomial varieties in codimension two
• Combinatorics and commutative algebra.
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On arithmetic Macaulayfication of Noetherian rings
• Dualizing Complexes of Affine Semigroup Rings
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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