Pointwise vanishing of two-loop contributions to the one, two, three-point functions in the Neveu–Schwarz–Ramond formalism

Point-wise vanishing of contributions into one-, two- and three-point functions on the moduli space in the superstring theory is demonstrated, provided the both odd moduli are located at one of the ramifications points. Analysis of the generalised Riemann identities essential for constructing the Neveu–Schwarz–Ramond formalism on hyperelliptic surfaces is performed.