Abstract: A stator of a variable-geometry axial turbine for aeronautical applications has an axis and is provided with an annular duct that has a diameter increasing along the axis, is delimited radially by an outer surface and by an inner surface and houses an array of airfoil profiles; the profiles are rotatable relative to the outer and inner surfaces about respective axes of adjustment incident to the axis of the stator and each have an associated pair of end edges opposite each other and each coupled slidably with an associated shaped zone of the outer and inner surfaces, each shaped zone has a form complementary to an ideal surface generated by rotation of the associated end edges about the axis of adjustment so as to maintain a constant clearance between the profiles and the inner and outer surfaces.