Über Hilbert-Funktionen graduierter Gorenstein-Algebren

DOI10.1007/BF01190951zbMath0533.13010OpenAlexW2093403708MaRDI QIDQ789452

Peter Kleinschmidt

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01190951

zbMATH Keywords

simplicial polytopesHilbert-functions of Gorenstein standard G-algebraslower-bound-theoremStanley-Reisner- rings

Mathematics Subject Classification ID

General topology of complexes (57Q05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Polytopes and polyhedra (52Bxx)

Related Items

On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley, On the Hilbert function of Gorenstein algebras of socle degree four, On the Hilbert function of a graded Cohen-Macaulay domain, Bounds and asymptotic minimal growth for Gorenstein Hilbert functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• Decompositions of homology manifolds and their graphs
• Cohen-Macaulay quotients of polynomial rings
• Hilbert functions of graded algebras
• Graph theorems for manifolds
• A proof of the lower bound conjecture for convex polytopes
• The Upper Bound Conjecture and Cohen-Macaulay Rings