Buchsbaum-Rim multiplicity: a Koszul homology description

DOI10.1016/j.jalgebra.2023.06.037OpenAlexW4384207898MaRDI QIDQ6170776

Jose Naéliton, Seyed Hamid Hassanzadeh, Vinicius Bouça, T. F. C. Cabral

Publication date: 10 August 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.06.037

zbMATH Keywords

multiplicityEuler characteristicKoszul homologysymmetric algebraBuchsbaum-Rim

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

• Integral closure of modules and Whitney equisingularity
• Polar multiplicities and equisingularity of map germs
• On the Buchsbaum-Rim Multiplicity associated with a Matrix
• A Sequence of Complexes Associated with a Matrix
• A note on the Buchsbaum-Rim multiplicity of a parameter module
• Residual intersections are Koszul–Fitting ideals
• A Generalized Koszul Complex. II. Depth and Multiplicity
• Computations of Buchsbaum-Rim multiplicities
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