Cohen-Macaulay complexes and an analytic proof of the new intersection conjecture

DOI10.1016/0021-8693(80)90121-0zbMath0463.13009OpenAlexW2094881114WikidataQ123128090 ScholiaQ123128090MaRDI QIDQ1153403

Paul C. Roberts

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90121-0

zbMATH Keywords

Krull dimensionCohen-Macaulay complexesnew intersection conjecture for local rings

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey, Quasilength, latent regular sequences, and content of local cohomology, Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules, Ext and Frobenius, On weak resolutions, Canonical elements in local cohomology modules and the direct summand conjecture, A Kunz-type characterization of regular rings via alterations, Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem., Tight closure and elements of small order in integral extensions

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