Abstract: A method for drying a surface-treated paper web or equivalent in an after-dryer of a paper machine in which the paper web is first finished in a finishing section, e.g., surface-sized or coated, by a finishing device and then dried. In the after-dryer, the paper web is dried in at least one dryer group employing a normal single-wire draw and, in connection with or after the drying, the paper web is treated by at least one device in order to compensate for a tendency of curling of the paper web. The after-dryer is arranged after the finishing device and includes at least one dryer group that applies a normal single-wire draw so as to dry the paper web and one or more devices for compensating for a tendency of curling of the paper web.