Cohen-Macaulay quotients of polynomial rings

Gerald Allen Reisner

Type: Article

Publication Date: 1976-07-01

Citations: 367

DOI: https://doi.org/10.1016/0001-8708(76)90114-6

View Publication

Locations

Advances in Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Partition and Cohen–Macaulay extenders	2021	Joseph Doolittle Bennet Goeckner Alexander Lazar
+	Partition and Cohen-Macaulay Extenders	2019	Joseph Doolittle Bennet Goeckner Alexander Lazar
+	Partition and Cohen-Macaulay Extenders	2019	Joseph Doolittle Bennet Goeckner Alexander J. Lazar
+	A partitioning and related properties for the quotient complex $\Delta (B_{lm})/S_l \wr S_m$	2003	Patricia Hersh
+	A partitioning and related properties for the quotient complex $Δ(B_{lm})/S_l \wr S_m$	2003	Patricia Hersh
+	Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey	2021	Srikanth B. Iyengar Linquan Ma Karl Schwede Mark E. Walker
+	Minimal Cohen-Macaulay Simplicial Complexes	2019	Hailong Dao Joseph Doolittle Justin Lyle
+ PDF Chat	A non-partitionable Cohen–Macaulay simplicial complex	2020	Art M. Duval Bennet Goeckner Caroline J. Klivans Jeremy L. Martin
+ PDF Chat	On $f$- and $h$-vectors of relative simplicial complexes	2019	Giulia Codenotti Lukas Katthän Raman Sanyal
+ PDF Chat	Algebraic Shifting and Sequentially Cohen-Macaulay Simplicial Complexes	1996	Art M. Duval
+ PDF Chat	Minimal Cohen--Macaulay Simplicial Complexes	2020	Hailong Dao Joseph Doolittle Justin Lyle
+	A partitioning and related properties for the quotient complex Δ(Blm)/Sl≀Sm	2003	Patricia Hersh
+	A non-partitionable Cohen–Macaulay simplicial complex	2016	Art M. Duval Bennet Goeckner Caroline J. Klivans Jeremy L. Martin
+	Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness	2010	Masahiro Hachimori Kenji Kashiwabara
+	Macaulay Posets and Rings	2023	Nikola Kuzmanovski
+ PDF Chat	Algebraic K-theory, assembly maps, controlled algebra, and trace methods	2018	Holger Reich Marco Varisco
+ PDF Chat	Shellability and the Strong gcd-Condition	2009	Alexander Berglund
+ PDF Chat	Topological Cohen-Macaulay criteria for monomial ideals	2009	Ezra Miller
+	Topological Cohen-Macaulay criteria for monomial ideals	2008	Ezra Miller
+ PDF Chat	Hilbert functions of colored quotient rings and a generalization of the Clements–Lindström theorem	2014	Kai Fong Ernest Chong

Works That Cite This (361)

Action	Title	Year	Authors
+	The algebra of continuous piecewise polynomials	1989	Louis J. Billera
+ PDF Chat	P.L.-Spheres, convex polytopes, and stress	1996	C. W. Lee
+ PDF Chat	Almost Buchsbaumness of some rings arising from complexes with isolated singularities	2020	Connor Sawaske
+	An extension of a theorem of Hartshorne	2015	Mordechai Katzman Gennady Lyubeznik Wenliang Zhang
+ PDF Chat	Lyubeznik numbers and injective dimension in mixed characteristic	2017	Daniel J. Hernández Luis Núñez‐Betancourt Felipe Pérez Emily E. Witt
+	Free resolutions of function classes via order complexes	2020	Justin Chen Christopher Eur Greg Yang Mengyuan Zhang
+	Extremal Betti Numbers and Applications to Monomial Ideals	1998	Dave Bayer Hara Charalambous Sorin Popescu
+	Monomial Ideals and Their Decompositions	2018	W. Frank Moore Mark Rogers Sean Sather-Wagstaff
+	Do alcoved lattice polytopes have unimodal h*-vector?	2021	Rainer Sinn Hannah Sjöberg
+	Stanley-Reisner Rings	2021	Ralf Fröberg

Works Cited by This (7)

Action	Title	Year	Authors
+	R-SEQUENCES AND INDETERMINATES	1974	J. A. Eagon Melvin Hochster
+ PDF Chat	Five theorems on Macaulay rings	1973	Melvin Hochster Louis J. Ratliff
+	LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA	1970	R. Y. Sharp
+	The purity of the Frobenius and local cohomology	1976	Melvin Hochster Joel Roberts
+	Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay	1974	Melvin Hochster Joel Roberts
+	Éléments de géométrie algébrique	1964	Alexandre Grothendieck
+	Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes	1972	Melvin Hochster