Lech’s inequality for the Buchsbaum-Rim multiplicity and mixed multiplicity

DOI10.1090/proc/15364zbMath1469.13047arXiv1912.01073OpenAlexW3106220322MaRDI QIDQ5856946

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Publication date: 30 March 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01073

zbMATH Keywords

mixed multiplicityBuchsbaum-Rim multiplicityLech's inequality

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

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• Specialization of integral dependence for modules
• Two formulas for the BR multiplicity
• Note on multiplicities of ideals
• Mixed Multiplicities, Joint Reductions and Quasi-Unmixed Local Rings
• Generalizations of Reductions and Mixed Multiplicities
• THE INTEGRAL CLOSURE OF MODULES, BUCHSBAUM–RIM MULTIPLICITIES AND NEWTON POLYHEDRA
• A Generalized Koszul Complex. II. Depth and Multiplicity
• A generalization of an inequality of Lech relating multiplicity and colength*

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