A vehicle window pane having a plate-like window pane body which has an outer side which faces the surroundings of the vehicle and an inner side which faces away from the outer side and to which a composite is connected, the composite having a layer structure which may have multiple layers disposed one on top of the other, one of the layers having a liquid crystal arrangement having two films and a liquid crystal cell disposed between the two films, and another one of the layers being a polarizer layer. At least one layer of the layer structure can be a compensation layer whose area is smaller than the area of the liquid crystal arrangement, the liquid crystal cell thus having an edge portion which is thicker than a central portion covered by the compensation layer.