Results 61 to 70 of about 621 (193)

Kitaoka's conjecture and sums of squares

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We connect the existence of a ternary classical universal quadratic form over a totally real number field K$K$ with the property that all totally positive multiples of 2 are sums of squares (if K$K$ does not contain 2$\sqrt{2}$ or contains a nonsquare totally positive unit).
Vítězslav Kala   +2 more
wiley   +1 more source

Groups with a finite Busemann boundary are virtually cyclic

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart   +2 more
wiley   +1 more source

Modules With Epimorphisms Between Their Submodules

open access: yesJournal of Mathematics
An R-module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomRN,K or HomRK,N contains an injective element.
P. Karimi Beiranvand
doaj   +1 more source

A birational description of the minimal exponent

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a description of the minimal exponent of a hypersurface using higher direct images of suitably twisted sheaves of log forms on a log resolution.
Qianyu Chen, Mircea Mustaţă
wiley   +1 more source

On affine motions with one-dimensional orbits in common spaces of paths

open access: yesДифференциальная геометрия многообразий фигур
The concept of a common path space was introduced by J. Duqlas. M. S. Knebelman was the first to consider affine and projective move­ments in these spaces. The general path space is a generalization of the space of affine connectivity.
N. D. Nikitin, O. G. Nikitina
doaj   +1 more source

Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems

open access: yesAnnalen der Physik, Volume 538, Issue 7, July 2026.
ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández   +3 more
wiley   +1 more source

Laughlin-like States in Bosonic and Fermionic Atomic Synthetic Ladders

open access: yesPhysical Review X, 2017
The combination of interactions and static gauge fields plays a pivotal role in our understanding of strongly correlated quantum matter. Cold atomic gases endowed with a synthetic dimension are emerging as an ideal platform to experimentally address this
Marcello Calvanese Strinati   +7 more
doaj   +1 more source

Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4

open access: yesAdvanced Physics Research, Volume 5, Issue 7, July 2026.
Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma   +3 more
wiley   +1 more source

Abelian Ideals of Maximal Dimension for Solvable Lie Algebras

open access: yesJournal of Lie Theory, 2012
We compare the maximal dimension of abelian subalgebras and the maximal dimension of abelian ideals for finite-dimensional Lie algebras. We show that these dimensions coincide for solvable Lie algebras over an algebraically closed field of characteristic zero.
Burde, Dietrich, Ceballos, Manuel
openaire   +4 more sources

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