Algebraic varieties on which the classical Phragmén-Lindelöf estimates hold for plurisubharmonic functions
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چکیده
Algebraic varieties V are investigated on which the natural analogue of the classical Phragmén-Lindelöf principle for plurisubharmonic functions holds. For a homogeneous polynomial P in three variables it is shown that its graph has this property if and only if P has real coefficients, no elliptic factors, is locally hyperbolic in all real characteristics, and the localizations in these characteristics are square-free. The last condition is shown to be necessary in any dimension. Mathematics Subject Classification (1991): Primary 32F05, 31C10
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تاریخ انتشار 1999