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math.AG2025
Explicit Families of Hyperelliptic Curves with CM Jacobians
Saeed Tafazolian, Jaap Top
We construct explicit families of hyperelliptic curves over $\QQ$ whose Jacobians admit complex multiplication (CM). Each curve in these families is defined by \[ v^2 = (u+2)\,φ_d(…
math.AG2025
Locally recoverable codes with multiple recovering sets from maximal curves
Saeed Tafazolian, Jaa Top
In this paper, we present a construction of locally recoverable codes (LRCs) with multiple recovery sets using algebraic curves with many rational points. By leveraging separable m…
math.AG2025
Automorphisms of Plane Curves defined from Chebychev polynomials
Saeed Tafazolian, Jaap Top
For any we determine the automorphism groups of the algebraic curves \[ \mathcal{C}_d : y^d = φ_d(x), \] where denotes the Chebyshev polynomial of degree , de…