A method for producing a glass film is provided. The method includes: heating a portion of a glass preform so that in the heated portion the glass has a viscosity of less than 109 dPa·s, or drawing a glass from a melt; withdrawing the glass using a drawing device, wherein in case of drawing from a preform the drawn glass film is thinner than the glass preform; heating at least one point by means of a laser, the point being located in an edge region of the drawn glass film that is being formed by withdrawing the glass, wherein at the site of the laser focus the glass has a viscosity of not more than 109 dPa·s before the laser is switched on and wherein heating is performed in such a manner that at least one notch is provided in parallel to the drawing direction.