WebThis has application to the modularity of a class of shadow weights in the weight part of Serre's conjecture. Along the way we make unconditional the local-global compatibility results of \cite{PQ} and further study the geometry of moduli spaces of Fontaine--Laffaille representations in terms of colength one weights. WebNov 30, 2015 · One section of the paper will be devoted to the sequence of colengths. Concerning the colength behavior for general non associative PI algebras, one can get …
Section 10.59 (00K4): Noetherian local rings—The Stacks project
WebMay 15, 2007 · The Gorenstein Colength of an Artinian Local Ring H. Ananthnarayan In this paper, we make the notion of approximating an Artinian local ring by a Gorenstein Artin local ring precise using the concept of Gorenstein colength. We also answer the question as to when the Gorenstein colength is at most two. Submission history WebJan 9, 2024 · We prove results concerning the multiplicity as well as the Cohen–Macaulay and Gorenstein properties of the special fiber ring F(E) of a finitely generated R -module E ⊊ Re over a Noetherian local ring R with infinite residue field. Assuming that R is Cohen–Macaulay of dimension 1 and that E has finite colength in Re, our main result ... property for sale clyst heath exeter
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