Results 61 to 70 of about 62,778,540 (180)

Analytic Torsion for Twisted De Rham Complexes

Journal of Differential Geometry, 2011
We define analytic torsion for the twisted de Rham complex, consisting of the spaces of differential forms on a compact oriented Riemannian manifold X valued in a flat vector bundle E, with a differential given by a flat connection on E plus an odd-degree closed differential form H on X.
Varghese, M., Wu, S.
openaire   +5 more sources

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2

Forum of Mathematics, Sigma
We describe the modulo $2$ de Rham-Witt complex of a field of characteristic $2$ , in terms of the powers of the augmentation ideal of the $\mathbb {Z}/2$ -geometric fixed points of real topological restriction homology ${\mathrm ...
Emanuele Dotto
doaj   +1 more source

A Novel Mixed‐Hybrid, Higher‐Order Accurate Formulation for Kirchhoff–Love Shells

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This paper presents a novel mixed‐hybrid finite element formulation for Kirchhoff–Love shells, designed to enable the use of standard C0$C^0$‐continuous higher‐order Lagrange elements. This is possible by introducing the components of the moment tensor as a primary unknown alongside the displacement vector, circumventing the need for C1$C^1 ...
Jonas Neumeyer, Thomas‐Peter Fries
wiley   +1 more source

Le complexe motivique de De Rham

, 2009
International audienceOver a field of characteristic zero, we construct a De Rham motivic complex and generalize the De Rham cohomology of a smooth variety to any Voevodsky ...
Lecomte, Florence, Wach, Nathalie
core   +1 more source

Existence and regularity theorems for d and ∂̄ $\bar{\partial }$ in Hölder–Zygmund spaces on half-spaces

Demonstratio Mathematica
This paper is devoted to establish existence and regularity theorems for the d- and ∂̄ $\bar{\partial }$ -equations in the domains C+n ${\mathbb{C}}_{+}^{n}$ and R+n+1 ${\mathbb{R}}_{+}^{n+1}$ , respectively, for differential forms in Hölder–Zygmund ...
Khidr Shaban, Sambou Salomon
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. Part 2 [PDF]

Opuscula Mathematica, 2007
The Gelfand-Levitan integral equations for Delsarte-Lions type transformations in multidimension are studied. The corresponding spectral and analytical properties of Delsarte-Lions transformed operators are analyzed by means of the differential-geometric
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko   +1 more
doaj  

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source