Bounding multiplicity by shifts in the Taylor resolution

DOI10.1216/JCA-2009-1-3-437zbMath1222.13019arXiv0711.1691MaRDI QIDQ847968

Michael Goff

Publication date: 19 February 2010

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

Full work available at URL: https://arxiv.org/abs/0711.1691

zbMATH Keywords

Taylor resolutionfree resolutionsmultiplicitiesBetti numbersmonomial idealsmultiplicity conjecture

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• Intersection patterns of convex sets
• Regularity, depth and arithmetic rank of bipartite edge ideals
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• Notes on the multiplicity conjecture
• Betti numbers of graded modules and cohomology of vector bundles
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Balanced Cohen-Macaulay Complexes
• Bounds for multiplicities
• Combinatorial Commutative Algebra
• Face Ring Multiplicity via CM-Connectivity Sequences

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