Results 61 to 70 of about 4,385,745 (186)
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
wiley +1 more source
Derived functors and the homology of n-types
Journal of Algebra, 2002 Let X be a connected CW-space whose homotopy groups πiX are trivial in dimensions i > n+1. Such a space is termed a homotopy (n+1)-type. In the case n= 0, classical homological algebra provides a purely algebraic description of the integral homology H∗(X) in terms of derived functors. For n= 1 it has recently been shown [1] (cf.
J. M. Casas +3 more
openalex +4 more sources
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
The three limits of the hydrostatic approximation
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The primitive equations are derived from the 3D Navier–Stokes equations by the hydrostatic approximation. Formally, assuming an ε$\varepsilon$‐thin domain and anisotropic viscosities with vertical viscosity νz=O(εγ)$\nu _z=\mathcal {O}(\varepsilon ^\gamma)$ where γ=2$\gamma =2$, one obtains the primitive equations with full viscosity as ε→0 ...
Ken Furukawa +5 more
wiley +1 more source
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona +3 more
wiley +1 more source
Counting integral points on symmetric varieties with applications to arithmetic statistics
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar +2 more
wiley +1 more source
From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
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On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
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The adjoints to the derivative functor on species
Journal of Combinatorial Theory, Series A, 1993 AbstractAs a direct consequence of the Kan Extension Theorem, the derivative functor, D, on (combinatorial) species, has both a left adjoint, MX, and a right adjoint, II. The functor MX can be described as “tensoring by X,” whereas the functor II is new.
openaire +2 more sources