5 citations · 11 across the 10 of their papers we have counts for
11 papers
Equilibrium Laws for Julia's Zero and the Hyperbolic Zero of Binary Forms
Artur Elezi
For a real binary form with no real roots, Julia's zero and the hyperbolic zero are two SL(2,R)-equivariant points in the upper half-plane. We show that they admit closely related…
Isogenous components of Jacobian surfaces
Lubjana Beshaj, Artur Elezi, Tony Shaska
Let be a genus 2 curve defined over a field , $\mbox{char} K = p \geq 0$, and $\mbox{Jac} (\mathcal X, ι)$ its Jacobian, where is the principal polarization of…
Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes
Artur Elezi, Tony Shaska
This is a survey on weight enumerators, zeta functions and Riemann hypothesis for linear and algebraic-geometry codes.
Reduction of binary forms via the hyperbolic center of mass
Artur Elezi, Tony Shaska
In this paper we provide an alternative reduction theory for real, binary forms with no real roots. Our approach is completely geometric, making use of the notion of hyperbolic cen…
Theta functions of superelliptic curves
L. Beshaj, A. Elezi, T. Shaska
In this short survey we give a description of the theta functions of algebraic curves, half-integer theta-nulls, and the fundamental theta functions. We describe how to determine s…
Quantum codes from superelliptic curves
A. Elezi, T. Shaska
Let $\X$ be an algebraic curve of genus defined over a field $\F_q$ of characteristic . From $\X$, under certain conditions, we can construct an algebraic geometr…