Explicit bases of the Riemann-Roch spaces on divisors on hyperelliptic curves

Giovanni Falcone, Ágota Figula, Carolin Hannusch

For an (imaginary) hyperelliptic curve $\mathcal{H}$ of genus $g$, we determine a basis of the Riemann-Roch space $\mathcal{L}(D)$, where $D$ is a divisor with positive degree $n$,…