2026-04-05T10:40:30Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/8342025-07-17T07:22:47Zcom_2072_1033col_2072_452950

Some numerical invariants of local rings Álvarez Montaner, Josep Algebra, Homological Differential algebra Local cohomology D-modules Homologia, Teoria d' Àlgebra diferencial Classificació AMS::13 Commutative rings and algebras::13D Homological methods Classificació AMS::13 Commutative rings and algebras::13N Differential algebra Let $R$ be a formal power series ring over a field of characteristic zero and $I\subseteq R$ be any ideal. The aim of this work is to introduce some numerical invariants of the local rings $R/I$ by using theory of algebraic $\mathcal D$-modules. More precisely, we will prove that the multiplicities of the characteristic cycle of the local cohomology modules $H_I^{n-i}(R)$ and $H_{\mathfrak{p}}^p(H_I^{n-i}(R))$, where $\mathfrak{p} \subseteq R$ is any prime ideal that contains $I$, are invariants of $R/I$. 2002 Article http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain