Results 81 to 90 of about 7,769,949 (162)
Amenable actions, invariant means and bounded cohomology
We show that topological amenability of an action of a countable discrete group on a compact spaceis equivalent to the existence of an invariant mean for the action.
Wright, Nick +3 more
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Artinianness of local cohomology modules
Some uniform theorems on the artinianness of certain local cohomology modules are proven in a general situation. They generalize and imply previous results about the artinianness of some special local cohomology modules in the graded case.
Melkersson, Leif, +1 more
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Betti Numbers and Formal Local Cohomology Modules
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
Symplectic manifolds and cohomological decomposition [PDF]
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
Class Notes for Math 918: Local Cohomology, Instructor Tom Marley [PDF]
Topics include: Injective Module, Basic Properties of Local Cohomology Modules, Local Cohomology as a Cech Complex, Long exact sequences on Local Cohomology, Arithmetic Rank, Change of Rings Principle, Local Cohomology as a direct limit of Ext modules ...
Lynch, Laura
core
A Gromov-Witten Theory for Simple Normal-Crossing Pairs Without Log Geometry. [PDF]
Tseng HH, You F.
europepmc +1 more source
Symmetry TFTs from String Theory. [PDF]
Apruzzi F +4 more
europepmc +1 more source
Twisted Chiral Algebras of Class S and Mixed Feigin-Frenkel Gluing. [PDF]
Beem C, Nair S.
europepmc +1 more source
The Second Vanishing Theorem for Formal Local Cohomology Modules
This paper establishes a second vanishing theorem for formal local cohomology modules over Noetherian local rings. We introduce the \textit{formal dimension} invariant and characterize the vanishing of higher formal local cohomology in terms of the dimension of the quotient ring modulo minimal primes.
openaire +2 more sources

