Results 21 to 30 of about 2,356,486 (173)
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
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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
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Spontaneous radiation of black holes
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
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On the intersection of Hermitian curves and of Hermitian surfaces
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
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Slant Curves in Contact Lorentzian Manifolds with CR Structures
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
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On the spectrum of genera of quotients of the Hermitian curve [PDF]
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
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On the classification problem for the genera of quotients of the Hermitian curve [PDF]
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
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Quotients of the Hermitian curve from subgroups of $$\mathrm{PGU}(3,q)$$ without fixed points or triangles [PDF]
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
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The complete list of genera of quotients of the Fq2-maximal Hermitian curve for q ≡ 1 (mod 4)
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
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Some subsets of the Hermitian curve
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
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