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On regularization of plurisubharmonic functions on manifolds
Authors:Zbigniew Blocki  Slawomir Kolodziej
Institution:Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland ; Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Abstract:We study the question of when a $ \gamma $-plurisubharmonic function on a complex manifold, where $ \gamma $ is a fixed $ (1,1)$-form, can be approximated by a decreasing sequence of smooth $ \gamma $-plurisubharmonic functions. We show in particular that it is always possible in the compact Kähler case.

Keywords:Plurisubharmonic functions  K\"{a}hler manifolds  Lelong numbers
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