Alpine ski (1) having a sidecut (9) which has a radius smaller than 24 meters, wherein the front (10) and/or rear (18) ends have a cavity (11, 15) opening longitudinally at said end, the dimensions of the cavity (11, 15) allowing the deformation of said end when a transverse force is exerted at the front and/or rear contact lines so as to permit the inner and outer edges of the ski to move closer to one another.