I hope your child was referred to an ophthalmologist, and not just an optometrist. By curved, I am assuming that the doctor meant elevated. Elevation of
the optic nerve
can be seen in hyperopia (farsightedness), because these are smaller eyes and the optic nerves can be smaller and crowded-appearing. Also optic nerve drusen in children can be buried, and give the appearance of a swollen or elevated nerve. These drusen can be detected by OCT, ultrasound, and CT scan.