Extension of plurisubharmonic functions in the Lelong class

2014-01-01
Yazıcı, Özcan
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Let X be an algebraic subvariety of Cn and X be its closure in Pn. In their paper (J. Reine Angew. Math. 676 (2013), 33-49), Coman, Guedj and Zeriahi proved that any plurisub- harmonic function with logarithmic growth on X extends to a plurisubharmonic function with logarithmic growth on Cn when the germs (X, a) in Pn are irreducible for all a ∈ X\X. In this pa- per we consider X for which the germ (X, a) is reducible for some a ∈ X \X and we give a necessary and sufficient condition for X so that any plurisubharmonic function with logarithmic growth on X extends to a plurisubharmonic function with logarithmic growth on Cn.
Plurisubharmonic function, Bergman Kernel, Log canonical threshold
https://projecteuclid.org/euclid.ijm/1427897175
https://hdl.handle.net/11511/73082
Illinois Journal of Mathematics
Department of Mathematics, Article

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Citation Formats
Ö. Yazıcı, “Extension of plurisubharmonic functions in the Lelong class,” Illinois Journal of Mathematics, pp. 219–231, 2014, Accessed: 00, 2021. [Online]. Available: https://projecteuclid.org/euclid.ijm/1427897175.
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