Results 11 to 20 of about 92 (72)
Twists of twisted generalized Weyl algebras
Bulletin of the London Mathematical Society, EarlyView.Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, EarlyView.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
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On the stack of 0‐dimensional coherent sheaves: Motivic aspects
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1607-1649, June 2025.Abstract Let X$X$ be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack Cohn(X)$\mathcal {C}\hspace{-2.5pt}{o}\hspace{-1.99997pt}{h}^n(X)$ of 0‐dimensional coherent sheaves of length n$n$ on X$X$. To do so, we review the construction of the support map Cohn(X)→Symn(X)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
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Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
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Purity, ascent and periodicity for Gorenstein flat cotorsion modules
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
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The Temperley–Lieb tower and the Weyl algebra
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We define a monoidal category W${\mathbf {W}}$ and a closely related 2‐category 2Weyl${\mathbf {2Weyl}}$ using diagrammatic methods. We show that 2Weyl${\mathbf {2Weyl}}$ acts on the category TL:=⨁nTLn−mod$\mathbf {TL}:=\bigoplus _n \operatorname{TL}_n\mathrm{-mod}$ of modules over Temperley–Lieb algebras, with its generating 1‐morphisms ...
Matthew Harper, Peter Samuelson
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Realization of spaces of commutative rings
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Motivated by recent work on the use of topological methods to study collections of rings between an integral domain and its quotient field, we examine spaces of subrings of a commutative ring, endowed with the Zariski or patch topologies. We introduce three notions to study such a space X$X$: patch bundles, patch presheaves and patch algebras.
Laura Cossu, Bruce Olberding
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Witt vectors with coefficients and TR
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We give a new construction of p$p$‐typical Witt vectors with coefficients in terms of ghost maps and show that this construction is isomorphic to the one defined in terms of formal power series from the authors' previous paper. We show that our construction recovers Kaledin's polynomial Witt vectors in the case of vector spaces over a perfect ...
Emanuele Dotto +3 more
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Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
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A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
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