Eine geometrische Interpretation einer Ringinvarianten

DOI10.1007/BF01235358zbMath0482.13014MaRDI QIDQ1162556

Peter Kleinschmidt

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

multiplicityCohen-Macaulay ringsnumber of faces of simplicial complexsystem of parameterupper-bound-conjecture

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

Schälbare Cohen-Macaulay-Komplexe und ihre Parametrisierung. (Shellable Cohen-Macaulay complexes and their parametrization)

Cites Work

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• Cohen-Macaulay quotients of polynomial rings
• Lokale Algebra und lokale Geometrie
• Spheres with few vertices
• A proof of the lower bound conjecture for convex polytopes
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• On the Number of Vertices of a Convex Polytope
• The maximum numbers of faces of a convex polytope
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Shellable Decompositions of Cells and Spheres.