Results 81 to 90 of about 5,350,013 (268)
The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
General formal local cohomology modules
, 2020 Let (R,m) be a local ring, Ф a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules.
Rezaei Sh.
core +1 more source
A generalized local cohomology theory
, 2021 En este trabajo introducimos ciertos funtores de cohomología local que generalizan los estudiados en [9]. Demostramos que sus módulos de cohomología local pueden ser obtenidos como los módulos de cohomología de un complejo de Cech generalizado.
Caro Tuesta, Napoleón +2 more
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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 $\underline ...
openaire +3 more sources
On the Milnor fibres of initial forms of topologically equivalent holomorphic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Budur, Fernández de Bobadilla, Le, and Nguyen in 2022 conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial forms are homotopy equivalent. In this paper, we give an affirmative answer to this conjecture in the case of plane curves.
José Edson Sampaio
wiley +1 more source
ON VANISHING OF GENERALIZED LOCAL HOMOLOGY MODULES AND ITS DUALITY [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we study the vanishing and non-vanishing of generalized local cohomology and generalized local homology. In particular for a Noetherian local ring (R;m) and two non-zero finitely generated R-modules M and N, it is shown that H_m^{dimN} (M ...
KARIM MOSLEHI, MOHAMMAD R. AHMADI
doaj
Local Cohomology at Monomial Ideals
Journal of Symbolic Computation, 2000 For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n, in the spirit of the Stanley-Reisner theory. As a first application we give an isomorphism Tor_i(B', k)_p\iso Ext^{|p|-i}(R/B,R)_{-p} for all p in {0,1 ...
openaire +3 more sources
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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
Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology
Journal of High Energy Physics, 2017 Causally ordered correlation functions of local operators in near-thermal quantum systems computed using the Schwinger-Keldysh formalism obey a set of Ward identities.
Felix M. Haehl +2 more
doaj +1 more source