phi-Slicing results for negative plurisubharmonic currents

In the present article, we establish some results about slicing of negative plurisubharmonic currents, with respect to a given function ’ plurisubharmonic and locally bounded. The main result approves that the slices of a negative plurisubharmonic function v 6≡ −1 are well defined and are described outside a pluripolar subset. As a consequence, we provide an existence slicing result for negative plurisubharmonic currents of small support. As a particular case of negative (or positive) closed currents of small support, we prove that the slices are well defined and are vanishing everywhere as soon as they are vanishing outside a pluripolar subset.