Pluripolar set
= Pluripolar set
{wiki=Pluripolar_set}
A **pluripolar set** is a concept in several complex variables and complex geometry. It arises in the context of pluripotential theory, which studies functions of several complex variables and their properties. In simple terms, a set \\( E \\) in \\( \\mathbb\{C\}^n \\) (the n-dimensional complex space) is called pluripolar if it is contained in the set where a plurisubharmonic function is non-positive.