3 papers
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.NT2025
CM theory, maximal hyperelliptic curves, and Chebyshev polynomials
Saeed Tafazolia, Jaap Top
This paper studies hyperelliptic curves $\cH_d$ corresponding to over finite fields, with a Chebyshev polynomial. Starting from the case where is an…