Local cohomology of certain Rees- and form-rings. I

DOI10.1016/0021-8693(83)90207-7zbMath0475.14001OpenAlexW1982196672MaRDI QIDQ1159724

Markus P. Brodmann

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90207-7

zbMATH Keywords

blow-uplocal cohomology moduleslocal noetherian ringMacaulayficationBuchsbaum ringsform ringB-ringRees-ringSerre-cohomology

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and algebraic geometry (14B15)

Related Items

Buchsbaumness in Rees modules associated to ideals of minimal multiplicity in the equi-\(\mathbb I\)-invariant case ⋮ Testing the cohen-macaulay property under blowing up ⋮ When is the rees algebra cohen—macaulay? ⋮ Type of blowing-up over a Buchsbaum ring ⋮ A note on the cohen-macaulayness of rees algebras of filtrations ⋮ Hilbert polynomials of j-transforms ⋮ Cohomology of standard blowing-up ⋮ On arithmetic Macaulayfication of Noetherian rings ⋮ The parametric blowing-up of two-dimensional local domains ⋮ Macaulayfication of Noetherian schemes ⋮ Buchsbaumness in the Rees modules associated to \(\mathfrak m\)-primary ideals in the one-dimensional case. ⋮ Arithmetic Macaulayfication of projective schemes ⋮ On arithmetic macaulayfication of certain local rings

Cites Work

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• Certain graded algebras are always Cohen-Macaulay
• Finiteness of ideal transforms
• Über Macaulayfizierung. (On macaulayfication)
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Verallgemeinerte COHEN-MACAULAY-Moduln
• On the Cohen-Macaulayfication of certain Buchsbaum rings

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