Results 71 to 80 of about 2,364 (134)
On the relation between pseudocharacters and Chenevier's determinants
Abstract Consider a commutative unital ring A$A$ and a unital A$A$‐algebra R$R$. Let d$d$ be a positive integer. Chenevier proved that when (2d)!$(2d)!$ is invertible in A$A$, the map associating to a determinant its trace is a bijection between A$A$‐valued d$d$‐dimensional determinants of R$R$ and A$A$‐valued d$d$‐dimensional pseudocharacters of R$R$.
Amit Ophir
wiley +1 more source
Abstract For a log Calabi Yau pair (X,D$X,D$) with X∖D$X\setminus D$ smooth affine, satisfying either a maximal degeneracy assumption or contains a Zariski dense torus, we prove under the condition that D is the support of a nef divisor that the structure constants defining a trace form on the mirror algebra constructed by Gross–Siebert are given by ...
Samuel Johnston
wiley +1 more source
The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
Abstract We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible.
Shiqi Ma, Suman Kumar Sahoo, Mikko Salo
wiley +1 more source
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj +1 more source
Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra +4 more
wiley +1 more source
A brief survey of Nigel Kalton's work on interpolation and related topics [PDF]
This is the third of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results.
Cwikel, Michael +2 more
core
Mixed weak‐type inequalities in Euclidean spaces and in spaces of the homogeneous type
Abstract In this paper, we provide mixed weak‐type inequalities generalizing previous results in an earlier work by Caldarelli and the second author and also in the spirit of earlier results by Lorente et al. One of the main novelties is that, besides obtaining estimates in the Euclidean setting, results are provided as well in spaces of the ...
Gonzalo Ibañez‐Firnkorn +1 more
wiley +1 more source
Airy structures and deformations of curves in surfaces
Abstract An embedded curve in a symplectic surface Σ⊂X$\Sigma \subset X$ defines a smooth deformation space B$\mathcal {B}$ of nearby embedded curves. A key idea of Kontsevich and Soibelman is to equip the symplectic surface X$X$ with a foliation in order to study the deformation space B$\mathcal {B}$.
W. Chaimanowong +3 more
wiley +1 more source
Equivariant resolutions over Veronese rings
Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
wiley +1 more source
Buildings, valuated matroids, and tropical linear spaces
Abstract Affine Bruhat–Tits buildings are geometric spaces extracting the combinatorics of algebraic groups. The building of PGL$\mathrm{PGL}$ parameterizes flags of subspaces/lattices in or, equivalently, norms on a fixed finite‐dimensional vector space, up to homothety.
Luca Battistella +4 more
wiley +1 more source

