5 citations · 8 across the 5 of their papers we have counts for
5 papers
Minimal Weierstrass equations for genus 2 curves
L. Beshaj
We study the minimal Weierstrass equations for genus 2 curves defined over a ring of integers . This is done via reduction theory and Julia invariant of bin…
The case for superelliptic curves
Tony Shaska, Eustrat Zhupa, Lubjana Beshaj
There is a natural question to ask whether the rich mathematical theory of the hyperelliptic curves can be extended to all superelliptic curves. Moreover, one wonders if all of the…
Reduction theory of binary forms
Lubjana Beshaj
In these lectures we give an introduction to the reduction theory of binary forms starting with quadratic forms with real coefficients, Hermitian forms, and then define the Julia q…
Singular locus on the space of genus 2 curves with decomposable Jacobians
Lubjana Beshaj
We study the singular locus on the algebraic surface of genus 2 curves with a -split Jacobian. Such surface was computed by Shaska in \cite{deg3} for , and Shask…
The arithmetic of genus two curves
Lubjana Beshaj, Tony Shaska
Genus 2 curves have been an object of much mathematical interest since eighteenth century and continued interest to date. They have become an important tool in many algorithms in c…