In this paper we will consider a holomorphic family of closed Riemann surfaces of genus two which is constructed by Riera. The goal of this paper is to estimate the number of holomorphic sections of this family.
"Holomorphic sections of a holomorphic family of Riemann surfaces induced by a certain Kodaira surface." Kodai Math. J. 32 (3) 450 - 470, October 2009. https://doi.org/10.2996/kmj/1257948890