Abstract
In this paper, we study the extension of S-plurisubharmonic currents of bi-dimension
across zero sets of plurisubharmonic functions. More precisely, we show that the extension of the current
exists for every non-negative plurisubharmonic function g and negative S-plurisubharmonic current T defined outside
as soon as the
-Hausdorff measure of A vanishes. By some examples we show the astonishing fact that in some sense this result is sharp.