Algebraic varieties on which the classical Phragmén-Lindelöf estimates hold for plurisubharmonic functions
- Cite this article as:
- Braun, R., Meise, R. & Taylor, B. Math Z (1999) 232: 103. doi:10.1007/PL00004756
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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.