Results 21 to 30 of about 2,356,486 (173)

Twisted Hermitian Codes

open access: yesMathematics, 2020
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur
Austin Allen   +6 more
doaj   +1 more source

Analytical Method for Generalized Nonlinear Schrödinger Equation with Time-Varying Coefficients: Lax Representation, Riemann-Hilbert Problem Solutions

open access: yesMathematics, 2022
In this paper, a generalized nonlinear Schrödinger (gNLS) equation with time-varying coefficients is analytically studied using its Lax representation and the associated Riemann-Hilbert (RH) problem equipped with a symmetric scattering matrix in the ...
Bo Xu, Sheng Zhang
doaj   +1 more source

Spontaneous radiation of black holes

open access: yesNuclear Physics B, 2022
We provide an explicitly hermitian hamiltonian description for the spontaneous radiation of black holes, which is a many-level, multiple-degeneracy generalization of the usual Janeys-Cummings model for two-level atoms.
Ding-fang Zeng
doaj   +1 more source

On the intersection of Hermitian curves and of Hermitian surfaces

open access: yesDiscrete Mathematics, 2008
The intersection of two Hermitian curves of \(\mathrm{PG}(2,q^2)\) was determined by \textit{B. C. Kestenband} in the papers [Geom. Dedicata 11, 107--117 (1981; Zbl 0452.51007) and Geom. Dedicata 13, 101--106 (1982; Zbl 0495.51008)]. In the paper under review, the authors give a new proof of these results. L.
DONATI, GIORGIO, DURANTE, NICOLA
openaire   +4 more sources

Slant Curves in Contact Lorentzian Manifolds with CR Structures

open access: yesMathematics, 2020
In this paper, we first find the properties of the generalized Tanaka−Webster connection in a contact Lorentzian manifold. Next, we find that a necessary and sufficient condition for the ∇ ^ -geodesic is a magnetic curve (for ∇ ...
Ji-Eun Lee
doaj   +1 more source

On the spectrum of genera of quotients of the Hermitian curve [PDF]

open access: yes, 2017
We investigate the genera of quotient curves ℋq∕G of the -maximal Hermitian curve ℋq, where G is contained in the maximal subgroup fixing a pole-polar pair (P,ℓ) with respect to the unitary polarity associated with ℋq.
M. Montanucci, G. Zini
semanticscholar   +1 more source

On the classification problem for the genera of quotients of the Hermitian curve [PDF]

open access: yesCommunications in Algebra, 2018
In this article, we characterize the genera of those quotient curves of the -maximal Hermitian curve for which either G is contained in the maximal subgroup of fixing a self-polar triangle, or q is even and G is contained in the maximal subgroup of ...
F. Dalla Volta, M. Montanucci, G. Zini
semanticscholar   +1 more source

Quotients of the Hermitian curve from subgroups of $$\mathrm{PGU}(3,q)$$ without fixed points or triangles [PDF]

open access: yesJournal of Algebraic Combinatorics, 2018
In this paper we deal with the problem of classifying the genera of quotient curves $\mathcal{H}_q/G$, where $\mathcal{H}_q$ is the $\mathbb{F}_{q^2}$-maximal Hermitian curve and $G$ is an automorphism group of $\mathcal{H}_q$.
M. Montanucci, G. Zini
semanticscholar   +1 more source

The complete list of genera of quotients of the Fq2-maximal Hermitian curve for q ≡ 1 (mod 4)

open access: yes, 2020
Let F q 2 be the finite field with q 2 elements. Most of the known F q 2 -maximal curves arise as quotient curves of the F q 2 -maximal Hermitian curve H q .
M. Montanucci, G. Zini
semanticscholar   +1 more source

Some subsets of the Hermitian curve

open access: yesEuropean Journal of Combinatorics, 2003
The authors define three types of subsets of \(PG(2,q^2)\) of type \((0,1,2,q+1)\) with respect to lines and call them \(C_F\)-sets, \(K\)-sets and \(H\)-sets. Such subsets are also obtainable intersecting an Hermitian curve of \(PG(2,q^2)\) with suitable Baer subpencils of lines.
DONATI, GIORGIO, DURANTE, NICOLA
openaire   +2 more sources

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