A semiconductor power device has a maximum nominal voltage and includes: a first conduction terminal and a second conduction terminal; a semiconductor body, containing silicon carbide and having a first conductivity type; body wells having a second conductivity type, housed in the semiconductor body and separated from one another by a body distance; source regions housed in the body wells; and floating pockets having the second conductivity type, formed in the semiconductor body at a distance from the body wells between a first face and a second face of the semiconductor body. The floating pockets are shaped and arranged relative to the body wells so that a maximum intensity of electrical field around the floating pockets is greater than a maximum intensity of electrical field around the body wells at least for values of a conduction voltage between the first conduction terminal and the second conduction terminal greater than a threshold voltage, the threshold voltage being less than the maximum nominal voltage.