Remarks on the non-Cohen-Macaulay locus of Noetherian schemes

DOI10.1090/S0002-9939-98-04160-4zbMath0887.14001OpenAlexW1598848347MaRDI QIDQ4383087

Nguyen Tu Cuong

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04160-4

zbMATH Keywords

polynomial typeNoetherian schemenon-Cohen-Macaulay locus

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cohen-Macaulay modules (13C14) Relevant commutative algebra (14A05) Schemes and morphisms (14A15)

Related Items (2)

On theS₂-Fication of Some Toric Varieties ⋮ Cohen–Macaulay Modules of Infinite Projective Dimension

Cites Work

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• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• 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
• On the dimension of the non-Cohen–Macaulay locus of local rings admitting dualizing complexes
• On the least degree of polynomials bounding above the differences between lengths and multiplicities of certain systems of parameters in local rings

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