Results 41 to 50 of about 315 (137)

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

Analogues to Lie Method and Noether’s Theorem in Fractal Calculus

Fractal and Fractional, 2019
In this manuscript, we study symmetries of fractal differential equations. We show that using symmetry properties, one of the solutions can map to another solution.
Alireza Khalili Golmankhaneh, Cemil Tunç   +1 more
doaj   +1 more source

A study of (3+1)-dimensional generalized Korteweg-de Vries- Zakharov-Kuznetsov equation via Lie symmetry approach

Results in Physics, 2020
In this work, we analytically examine a (3+1)-dimensional generalized Korteweg-de Vries-Zakharov-Kuznetsov equation (gKdV-ZKe). Solutions of this equation, including a non-topological soliton, are obtained by Lie symmetry reductions and direct ...
Chaudry Masood Khalique, Oke Davies Adeyemo   +1 more
doaj   +1 more source

BV-BRST Noether theorem

Journal of High Energy Physics
The BRST Noether theorem, or “Noether’s 1.5 theorem”, asserts the triviality of the BRST Noether current. We provide two proofs of this theorem that are both valid without restriction on the structure of the gauge theory, extending thereby previous ...
Glenn Barnich, Laurent Baulieu, Marc Henneaux, Tom Wetzstein   +3 more
doaj   +1 more source

On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

Osculating geometry and higher‐order distance Loci

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source

Conformal Killing tensors, Noether currents and higher-spin shift symmetries in (A)dS space

Journal of High Energy Physics
For certain mass values, shift symmetries appear among massive higher spin fields propagating on (anti-) de Sitter spacetime. On the one hand, Noether’s theorem assigns a set of conserved currents for each shift symmetric field, one current for each of ...
Kurt Hinterbichler, Samanta Saha, Thomas Yan   +2 more
doaj   +1 more source

Conserved Vectors, Analytic Solutions and Numerical Simulation of Soliton Collisions of the Modified Gardner Equation

AppliedMath
This paper aims to study the modified Gardner (mG) equation that was proposed in the literature a short while ago. We first construct conserved vectors of the mG equation by invoking three different techniques; namely the method of multiplier, Noether’s ...
Chaudry Masood Khalique, Carel Olivier, Boikanyo Pretty Sebogodi   +2 more
doaj   +1 more source

Splitting the difference: Computations of the Reynolds operator in classical invariant theory

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley   +1 more source

On higher Jacobians, Laplace equations, and Lefschetz properties

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida, Aline V. Andrade, Rodrigo Gondim   +2 more
wiley   +1 more source