Results 21 to 30 of about 507 (36)

Lax operator algebras and Hamiltonian integrable hierarchies

open access: yes, 2009
We consider the theory of Lax equations in complex simple and reductive classical Lie algebras with the spectral parameter on a Riemann surface of finite genus.
Sheinman, Oleg K.
core   +1 more source

AG codes from the second generalization of the GK maximal curve

open access: yes, 2019
The second generalized GK maximal curves $\mathcal{GK}_{2,n}$ are maximal curves over finite fields with $q^{2n}$ elements, where $q$ is a prime power and $n \geq 3$ an odd integer, constructed by Beelen and Montanucci.
Lavorante, Vicenzo Pallozzi   +1 more
core   +1 more source

One- and Two-Point Codes over Kummer Extensions

open access: yes, 2016
We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by $y^m=f(x)^{\lambda}$ where $f(x)$ is a separable polynomial over $\mathbb{F}_q$.
Masuda, Ariane M.   +2 more
core   +1 more source

Geometry of integers revisited

open access: yes, 2019
We study geometry of the ring of algebraic integers $O_K$ of a number field $K$. Namely, it is proved that the inclusion $\mathbf{Z}\subset O_K$ defines a covering of the Riemann sphere $\mathbf{C}P^1$ ramified over three points $\{0,1,\infty\}$.
Nikolaev, Igor
core  

Classification and Galois conjugacy of Hamming maps

open access: yes, 2010
We show that for each d>0 the d-dimensional Hamming graph H(d,q) has an orientably regular surface embedding if and only if q is a prime power p^e.
Jones, Gareth A.
core   +1 more source

Generalised Fermat Hypermaps and Galois Orbits

open access: yes, 2006
We consider families of quasiplatonic Riemann surfaces characterised by the fact that -- as in the case of Fermat curves of exponent $n$ -- their underlying regular (Walsh) hypermap is the complete bipartite graph $ K_{n,n} $, where $ n $ is an odd prime
Coste, Antoine D.   +3 more
core   +2 more sources

Generalised elliptic functions

open access: yesOpen Mathematics, 2012
England Matthew, Athorne Chris
doaj   +1 more source

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