Author

Tanush Shaska

Oakland University

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Preprint Oct 2026

Code Equivalence and Automorphism Groups of Weighted Superelliptic Codes

We study permutation and monomial equivalence for one-point codes on weighted superelliptic curves. On strata where $H_m\simeq \Z/n\Z\times\Z/m\Z$ acts regularly on the evaluation set, we prove that these codes are Cartesian character codes and determine their primal and dual minimum distances. We compute the projectiv...

Lubjana Beshaj, Tanush Shaska · 0 citations

Preprint Aug 2026

The invariant ring of degree-four rational maps on the projective line

Let $k$ be an algebraically closed field of characteristic zero. Degree-four rational maps on $\mathbb{P}^1$, up to conjugation, correspond to pairs of binary forms $(F,G)\in V_5\oplus V_3$. The associated invariant ring is the joint invariant ring $\mathcal{R}_{5,3}=k[V_5\oplus V_3]^{\mathrm{SL}_2}$. We determine a mi...

Tanush Shaska · 1 citation

Preprint Aug 2026

Degrees of Genus-Two Split-Jacobian Loci and Humbert-Form Reconstruction

Let $\mathcal{L}_n \subset \mathcal{M}_2$ be the locus of genus-two curves admitting a maximal degree-$n$ elliptic subcover, cut out in $\mathbb{P}(2,4,6,10)$ by an irreducible weighted-homogeneous polynomial $F_n \in \mathbb{Z}[J_2,J_4,J_6,J_{10}]$. Let $\nu(n)$ be the degree of $X_1(n) \to X(1)$, let $G_{n^2}$ be the...

Tanush Shaska · 0 citations