Results 31 to 40 of about 2,356,486 (173)
A Combinatorial Characterization of Hermitian Curves [PDF]
Journal of Algebraic Combinatorics, 1992 A unital \(U\) with parameter \(q\) is a \(2-(q^ 3+1,q+1,1)\) design. If a point set \(U\) in \(PG(2,q^ 2)\) together with its \((q+1)\)-secants forms a unital, then \(U\) is called a Hermitian arc. For any prime power \(q\), the absolute points and nonabsolute lines of a unitary polarity of \(PG(2,q^ 2)\) form a unital that is called the classical ...
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Embedding of a Maximal Curve in a Hermitian Variety [PDF]
Compositio Mathematica, 2001 Let $\cal X$ be a projective, geometrically irreducible, non-singular, algebraic curve defined over a finite field F q 2 of order q
KORCHMAROS, Gabor, TORRES F.
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Curves of large genus covered by the hermitian curve [PDF]
Communications in Algebra, 2000 For the Hermitian curve H defined over the finite field , we give a complete classification of Galois coverings of H of prime degree. The corresponding quotient curves turn out to be special cases of wider families of curves -covered by H arising from subgroups of the special linear group SL(2,F q ) or from subgroups in the normaliser of the Singer ...
COSSIDENTE, Antonio +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1 × ℙ1.
Tanabé Susumu
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Spectral curves with complex multiplication in Hermitian matrix models
Nuclear Physics BWe show that elliptic curves with complex multiplication (CM) naturally emerge in the spectral geometry of Hermitian one-matrix models in the two-cut phase.
Ali Nassar
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Improved Two-Point Codes on Hermitian Curves [PDF]
IEEE Transactions on Information Theory, 2011 One-point codes on the Hermitian curve produce long codes with excellent parameters. Feng and Rao introduced a modified construction that improves the parameters while still using one-point divisors. A separate improvement of the parameters was introduced by Matthews considering the classical construction but with two-point divisors.
Iwan M. Duursma, Radoslav Kirov
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Further examples of maximal curves which cannot be covered by the Hermitian curve
, 2016 We construct examples of curves defined over the finite field F q 6 which are covered by the GK-curve. Thus such curves are maximal over F q 6 although they cannot be covered by the Hermitian curve for q > 2 . We also give examples of maximal curves that
Saeed Tafazolian +2 more
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Advanced Science, EarlyView.A programmable coupled‐resonator‐induced transparency (CRIT) platform is proposed, generalizing classical electromagnetically induced transparency (EIT) via a spinor representation. By utilizing dual‐channel gauge fields and universal unitary operations, this architecture enables dynamically engineered, reconfigurable slow‐light bands on a silicon ...
Seungkyun Park +5 more
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Non‐Hermitian Stealthy Hyperuniformity
Advanced Science, EarlyView.A framework for non‐Hermitian extensions of hyperuniformity and stealthiness is proposed, generalizing PT‐symmetric gain‐loss crystals to correlated disorder in the weak‐scattering limit. By engineering real‐imaginary correlations of the material potential, this framework enables directional scattering phases inaccessible in Hermitian materials ...
Gitae Lee +8 more
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Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
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