Uniform Lech's inequality

dc.contributor.author	Ma, L.
dc.contributor.author	Smirnov, I.
dc.date.accessioned	2022-11-07T16:15:21Z
dc.date.available	2022-11-07T16:15:21Z
dc.date.issued	2022
dc.identifier.uri	http://hdl.handle.net/20.500.11824/1533
dc.description.abstract	Let (R,m) be a Noetherian local ring, and let M be a finitely generated R-module of dimension d. We prove that the set [Formula presented] is bounded below by 1/d!e(R‾) where R‾=R/Ann(M). Moreover, when Mˆ is equidimensional, this set is bounded above by a finite constant depending only on M. The lower bound extends a classical inequality of Lech, and the upper bound answers a question of Stückrad–Vogel in the affirmative. As an application, we obtain results on uniform behavior of the lengths of Koszul homology module	en_US
dc.description.sponsorship	La Caixa Junior Leader Postdoctoral Fellowship “LCF/BQ/PI21/11830033”. PID2021-125052NA-I00	en_US
dc.format	application/pdf	en_US
dc.language.iso	eng	en_US
dc.rights	Reconocimiento-NoComercial-CompartirIgual 3.0 España	en_US
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/es/	en_US
dc.title	Uniform Lech's inequality	en_US
dc.type	info:eu-repo/semantics/article	en_US
dc.identifier.doi	https://doi.org/10.1090/proc/16304	en_US
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en_US
dc.type.hasVersion	info:eu-repo/semantics/acceptedVersion	en_US
dc.journal.title	Proceedings of the American Mathematical Society	en_US

Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España