A discharger for discharging a predetermined amount of fluid includes a housing defining a longitudinal first axis and having a proximal end and a distal end, a discharge section having a discharge passage for the fluid extending between an inlet opening and an outlet opening of the discharge section, a carriage cooperating with the proximal end region of the housing such that the carriage is moveable relative to the housing along the first axis, the carriage including a receiving space for the fluid, and a piercing tip having a flow channel for establishing a flow connection for the fluid from the receiving space to the inlet opening of the discharge section, the piercing tip defining a centrally extending longitudinal second axis and having a shell surface. The shell surface of the piercing tip has an essentially convexly curved.