Results 71 to 80 of about 167,457 (236)

Semiregularity as a consequence of Goodwillie’s theorem

Forum of Mathematics, Sigma
We realise Buchweitz and Flenner’s semiregularity map (and hence a fortiori Bloch’s semiregularity map) for a smooth variety X as the tangent of a generalised Abel–Jacobi map on the derived moduli stack of perfect complexes on X.
J.P. Pridham
doaj   +1 more source

Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.
Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley   +1 more source

$ L^p $-theory for the $ {\partial }\overline{\partial} $-equation and isomorphisms results

Electronic Research Archive
We establish an $ L^{p}_{\rm loc} $-existence theorem for the $ {\partial }\overline{\partial} $-equation on a half-space of $ \mathbb C^n $. The result is achieved for forms of class $ L^{p}_{\rm loc} $ as well as for those forms in the scale of $ W ...
Shaban Khidr, Salomon Sambou
doaj   +1 more source

De Rham’s Theorem for Orlicz Cohomology

Siberian Mathematical Journal, 2022
We prove that the de Rham $L^ $-cohomology of a Riemannian manifold $M$ admiting a convenient triangulation $X$ is isomorphic to the simplicial $\ell^ $-cohomology of $X$ for any Young function $ $. This result implies the quasi-isometry invariance of the first one.
openaire   +2 more sources

The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
wiley   +1 more source

Modular forms, de Rham cohomology and congruences [PDF]

Transactions of the American Mathematical Society, 2015
21 page ...
A. J. Scholl, Matija Kazalicki
openaire   +5 more sources

L${L}$‐functions of Kloosterman sheaves

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley   +1 more source

Log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over C

, 1999
where Ωχ/c is the de Rham complex of X ([Gr2]). In this paper, we prove generalizations of these results to schemes over C endowed with logarithmic structures in the sense of Fontaine-Illusie.
Kazuya Kato, Chikara Nakayama
semanticscholar   +1 more source

Polynomial‐exponential equations — Some new cases of solvability

Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.
Abstract Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables.
Vincenzo Mantova, David Masser
wiley   +1 more source

Hyperplane Arrangements Satisfy (Un)Twisted Logarithmic Comparison Theorems, Applications to $\mathscr {D}_{X}$ -modules

Forum of Mathematics, Pi
For a reduced hyperplane arrangement, we prove the analytic Twisted Logarithmic Comparison Theorem, subject to mild combinatorial arithmetic conditions on the weights defining the twist.
Daniel Bath
doaj   +1 more source