Face Ring Multiplicity via CM-Connectivity Sequences

DOI10.4153/CJM-2009-045-8zbMath1173.13022arXivmath/0606246MaRDI QIDQ5322980

Isabella Novik, Ed Swartz

Publication date: 23 July 2009

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606246

zbMATH Keywords

simplicial complexesmultiplicity conjectureface ringsCohen-Macaulay connectivity sequences

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Multiplicity theory and related topics (13H15) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of matroids and geometric lattices (05B35) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (7)

Bounding multiplicity by shifts in the Taylor resolution ⋮ Some combinatorial properties of flag simplicial pseudomanifolds and spheres ⋮ Simplicial girth and pure resolutions ⋮ On the upper bound of the multiplicity conjecture ⋮ Higher dimensional Moore bounds ⋮ Linear balls and the multiplicity conjecture ⋮ On the Hilbert Coefficients and Betti Numbers of the Stanley-Reisner Ring of a Matroid Complex

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