5 citations · 8 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
On hyperelliptic curves of genus 3
Lubjana Beshaj, Monika Polak
We study the moduli space of genus 3 hyperelliptic curves via the weighted projective space of binary octavics. This enables us to create a database of all genus 3 hyperelliptic cu…
The weighted moduli spaces of sextics
Lubjana Beshaj, Scott Guest
We use the weighted moduli height as defined in \cite{sh-h} to investigate the distribution of fine moduli points in the moduli space of genus two curves. We show that for any genu…
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…
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…