Order functions of plurisubharmonic functions

ArticleOriginal scientific text

Title

Authors ¹, ¹

We consider the following problem: find on

ℂ^{2}

a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on

ℂ ℙ^{1}

which is constant outside a polar set is the order function of a plurisubharmonic function.

plurisubharmonic function, singularity, order function,

G_{δ}

-function

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