A vertical semiconductor device includes a vertical, active region including a first semiconductor layer of a first conductivity type, a second semiconductor layer of a second conductivity type, and a third semiconductor layer of the first conductivity type, a trench extending through the third semiconductor layer at least into the second semiconductor layer, the trench comprising a first portion bordering on the third semiconductor layer, and the trench comprising a second portion extending at least into the second semiconductor layer starting from the first portion, an insulating layer associated with a control terminal and at least partially arranged on a side wall of the first portion of the trench and at least partially extending into the second portion of the trench, and a resistive layer with a field-strength-dependent resistance and arranged in the second portion of the trench at least partially on the sidewall and the bottom of the trench.