Results 81 to 90 of about 6,123,729 (220)
Local Homology and Local Cohomology
, 2004 Let $(R, {\frak m})$ be a local ring, $I$ a proper ideal of $R$ and $M$ a finitely generated $R$-module of dimension $d$. We discuss the local homology modules of $H^d_I(M)$. When $M$ is Cohen-Macaulay, it is proved that $H^d_{\frak m}(M)$ is co-Cohen-Macaulay of N.dimension $d$ and $H^{\underline{x}}_d(H^d_{\frak m}(M))\cong\hat{M}$ where $\underline ...
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Local Cohomology Annihilators and Macaulayfication [PDF]
Acta Mathematica Vietnamica, 2016 The aim of this paper is to study a deep connection between local cohomology annihilators and Macaulayfication and arithmetic Macaulayfication over a local ring. Local cohomology annihilators appear through the notion of p-standard system of parameters.
Nguyen Tu Cuong, Doan Trung Cuong
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Non‐Geometric T‐Duality as Higher Groupoid Bundles With Connections
Fortschritte der Physik, Volume 74, Issue 10, October 2026.This paper describes T‐duality between geometric and non‐geometric backgrounds using spans of higher groupoid bundles with adjusted connections. This framework incorporates explicit metric formulas, scalar fields, and Q$Q$‐fluxes. The resulting model reproduces key literature examples while maintaining covariance under the full T‐duality group O(n,n;Z)$
Hyungrok Kim, Christian Saemann
wiley +1 more source
Local Cohomology and ?ech Complexes [PDF]
, 2011 [[abstract]]讓 (R，m) 是一個 Noetherian local ring 以及讓C是關於這一個sequence x1，x2，…，xn 的?ech complex。如果這個ideal ( x1，x2，…，xn) 是m-primary，那麼我們知道 local cohomology 跟?ech complex 會有某種的同構關係。在本篇論文裡，我們會針對這個已知的事實給一個完整的證明。
陳韋達
core
On the maximum likelihood degree of Gaussian graphical models
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola +3 more
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Finiteness Properties of Local Cohomology. [PDF]
, 2013 Local cohomology modules have played an important role in commutative algebra. These modules are usually not finitely generated; however, they have finiteness properties over local regular rings of equal characteristic.
Nunez-Betancourt, Luis Cristobal
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ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
doaj
On the Kottwitz conjecture for local shtuka spaces
Forum of Mathematics, Pi, 2022 Kottwitz’s conjecture describes the contribution of a supercuspidal representation to the cohomology of a local Shimura variety in terms of the local Langlands correspondence.
David Hansen +2 more
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Topological and geometric rigidity of nonnegatively curved submanifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
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Local Cohomology at Monomial Ideals
Journal of Symbolic Computation, 2000 For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n, in the spirit of the Stanley-Reisner theory. As a first application we give an isomorphism Tor_i(B', k)_p\iso Ext^{|p|-i}(R/B,R)_{-p} for all p in {0,1 ...
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