A SIC transistor device includes a silicon-carbide semiconductor substrate having a plurality of first doped regions laterally spaced apart from one another and beneath a main surface of the substrate, a second doped region extending from the main surface to a third doped region that is above the first doped regions, and a plurality of fourth doped regions in the substrate extending from the main surface to the first doped regions. The second doped region has a first conductivity type. The first, third and fourth doped regions have a second conductivity type opposite the first conductivity type. A gate trench extends through the second and third doped regions. The gate trench has sidewalls, a bottom and rounded corners between the bottom and the sidewalls.