3 problems

Branch-point characterization. All expressions given by the corresponding finite-gap formula comply with the first reality condition on…

Let $u[K]$ denote the Abelian argument associated with a characteristic $[K]$, and let the finite-gap solution be the solution referred to in the source as the real finite-gap solu…

Let $\mathcal{V}$ be a trigonal curve whose finite branch points $\{(e_i,d_i)\}$ are real or occur in complex-conjugate pairs. Let $\omega$ and $\eta$ be its period matrices, let…