7 papers
The invariant ring of degree-four rational maps on the projective line
T. Shaska
Let be an algebraically closed field of characteristic zero. Degree-four rational maps on , up to conjugation, correspond to pairs of binary forms $(F,G)\in V_5\o…
The Tropical Moduli Space of Degree-3 Rational Maps
Tony Shaska, Mohammad-Reza Siadat
We construct and study the tropical moduli space \(\mathcal{M}_3^{\mathrm{trop}}\) of degree- tropical rational maps \(\mathbb{T}\PP^1 \to \mathbb{T}\PP^1\) up to post-compositi…
Kummer Surfaces, Isogenies and Theta Functions
Adrian Clingher, Andreas Malmendier, Tony Shaska
The paper discusses geometric and computational aspects associated with -isogenies for principally polarized Abelian surfaces and related Kummer surfaces. We start by review…
Generalized superelliptic Riemann surfaces
Ruben A. Hidalgo, Saúl Quispe, Tony Shaska
A closed Riemann surface , of genus , is called a generalized superelliptic curve of level if it admits an order conformal automorphism so…
Vojta's conjecture on weighted projective varieties
Sajad Salami, Tony Shaska
We formulate Vojta's conjecture for smooth weighted projective varieties, weighted multiplier ideal sheaves, and weighted log pairs and prove that all three versions of the conject…
Machine learning for moduli space of genus two curves and an application to isogeny based cryptography
Elira Shaska, Tony Shaska
We use machine learning to study the moduli space of genus two curves, specifically focusing on detecting whether a genus two curve has -split Jacobian. Based on such techn…