The invention relates to a method for ablating solid material in the oral cavity, particularly jaw bone material. Known systems are disadvantageous in terms of precision and causing damage to the surrounding tissue. The object of the invention is to provide a system that allows for easy, safe, gentle, reliable and precise ablation. The object is achieved by the use of a fixation device, particularly a dental splint, and an insertion device that can be rigidly connected thereto and is particularly designed to introduce laser radiation and thereby ablate material, and that is in a fixed, predetermined position after having been connected.