Results 71 to 80 of about 6,967,157 (160)

Some properties of the Thom spectrum over loop suspension of complex projective space [PDF]

open access: yes, 2013
This note provides a reference for some properties of the Thom spectrum Mξ over ΩΣCP<sup>∞</sup>. Some of this material is used in recent work of Kitchloo and Morava.
Roitzheim, Constanze   +15 more
core   +1 more source

Results of formal local cohomology modules

open access: yes, 2013
Let (R,m) be a commutative Noetherian local ring, a an ideal of R, and M a finitely generated R-module. We show that for a non-negative integer t the following cases are equivalent: The formal local cohomology modules lim??nHim(M/anM) are Artinian for ...
Husna Zayadi
core  

The artinianness of formal local cohomology modules

open access: yes, 2014
Let I be an ideal of a commutative Noetherian local ring (R,m), M a finitely generated R-module and lim??nHim(M/InM) the i-th formal local cohomology module of M with respect to I. We prove some results concerning artinianness of lim??nHim(M/InM).
Nur Munawwarah
core  

Symplectic manifolds and cohomological decomposition [PDF]

open access: yes, 2012
Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Daniele Angella   +3 more
core  

Symmetry TFTs from String Theory. [PDF]

open access: yesCommun Math Phys, 2023
Apruzzi F   +4 more
europepmc   +1 more source

Betti Numbers and Formal Local Cohomology Modules

open access: yes
This article investigates the relationship between Betti numbers of finitely generated modules over a Noetherian local ring $(R, \mathfrak{m})$ and the structure of formal local cohomology modules. We establish a connection between the vanishing of formal local cohomology and the depth of a module, generalizing classical results. The main theorem links
openaire   +2 more sources

Cohen-Macaulayness of formal fibers and dimension of local cohomology modules

open access: yesCommunications in Algebra
Let $(R, \mathfrak{m} )$ be a Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$. Set $\mathfrak{a}(M):=\mathfrak{a}_0(M)\cdots \mathfrak{a}_{d-1}(M)$, where $\mathfrak{a}_i(M):={\rm Ann}_RH^i_{\mathfrak{m}}(M)$ for $i\geq 0$.
openaire   +2 more sources

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