Results 51 to 60 of about 104 (95)
Torsion pairs via the Ziegler spectrum
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel +2 more
wiley +1 more source
Syntomic cohomology and real topological cyclic homology
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Lefschetz decompositions of Kudla–Millson theta functions
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source
A common generalization of local cohomology theories [PDF]
Glasgow Mathematical Journal, 1980 Throughout this note all rings considered will be commutative and noetherian and will have non-zero identity elements. A will always denote such a ring and the category of all A-modules and all A-homomorphisms will be denoted by A.
openaire +3 more sources
On Artinian generalized local cohomology modules
Proceedings - Mathematical Sciences, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the generalized local cohomology and its duality
Kyoto Journal of Mathematics, 1978 The purpose of this paper is to extend the local duality theorem to the generalized local cohomology functors defined by \(H^ i_{{\mathfrak m}}(M,N)=\lim_{\vec n}Ext^ i_ R(M/{\mathfrak m}^ nM,N),\quad as\) introduced by J. Herzog ((R,\({\mathfrak m})\) denotes a Noetherian local ring, M and N\ R-modules). - To explain the main result we put \(d=depth(R)
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On the cofiniteness of generalized local cohomology modules [PDF]
International Mathematical Forum, 2013 Sh. Payrovi, I. Khalili Gorji
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Top generalized local cohomology modules
Turkish Journal of Mathematics, 2011 openaire +1 more source
A Generalization of Formal Local Cohomology Modules
Kyungpook mathematical journal, 2016 openaire +2 more sources