A dead plate arrangement for a glass forming machine is characterized by a housing (33) which is bordered on the upper side by a dead plate (1) which is divided into fields (16, 16′, 16″) intended for putting hollow glass articles to be cooled thereon, wherein to each field, a dynamic pressure chamber (3) is allocated which is connected to a supply air chamber (4) via a valve (9), and wherein the supply air chamber (4) is connected to a cooling air supply via a valve (5). The valves (5, 9) are continuously controllable between an opening position and a closed position so that the pressure can be set for each of the dynamic pressure chambers (3), and therefore the cooling capacity of each of the fields (16, 16′, 16″) can be set individually depending on the properties of the hollow glass article to be cooled. In connection with database-supported setpoint values for article-specific dimensioning of the cooling air flows of each field, an individual cooling capacity according to demand can be implemented which is adapted to the respective hollow glass article.