Partial pluricomplex energy and integrability exponents of plurisubharmonic functions

We give a sufficient condition on the Monge-Amp\`ere mass of a plurisubharmonic function $u$ for $\exp (- 2 u)$ to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly.

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Bibliographische Detailangaben
Hauptverfasser:	Åhag, P, Cegrell, U, Kołodziej, S, Pham, H. H, Zeriahi, A
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Complex Variables
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Beschreibung
Zusammenfassung:	We give a sufficient condition on the Monge-Amp\`ere mass of a plurisubharmonic function $u$ for $\exp (- 2 u)$ to be locally integrable. This gives a pluripotential theoretic proof of a theorem by J-P. Demailly.
DOI:	10.48550/arxiv.0804.3954