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In this paper, we study the slicing of currents, with respect to a
locally bounded plurisubharmonic function. For a positive closed current
and its associated Lelong-Skoda potential, we prove that, with respect to a
smooth and strictly plurisubharmonic function, the slices are well defined
except at points lying in a pluriplolar subset. In particular, the slices of
the current of integration over an analytic set, are well defined explicitly,
except at points lying in a countable family of proper analytic subsets.
Furthermore, we state the analogue of the generalized slicing formula due
to H. Ben Messaoud and H. El Mir
Hedi Khedhiri. (2015) Slicing Associated to a Plurisubharmonic Function, , Volume 47, Issue 1.
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