Show simple item record

dc.contributor.authorMa, L.
dc.contributor.authorSmirnov, I.
dc.date.accessioned2022-11-07T16:15:21Z
dc.date.available2022-11-07T16:15:21Z
dc.date.issued2022
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1533
dc.description.abstractLet (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 moduleen_US
dc.description.sponsorshipLa Caixa Junior Leader Postdoctoral Fellowship “LCF/BQ/PI21/11830033”. PID2021-125052NA-I00en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleUniform Lech's inequalityen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doihttps://doi.org/10.1090/proc/16304en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleProceedings of the American Mathematical Societyen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

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