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Hyperbolic Reinhardt domains in โ„‚2with noncompact automorphism group

Hyperbolic Reinhardt domains in โ„‚2with noncompact automorphism group

We give an explicit description of hyperbolic Reinhardt domains D โŠ‚ C 2 such that: (i) D has C k -smooth boundary for some k โ‰ฅ 1, (ii) D intersects at least one of the coordinate complex lines {z 1 = 0}, {z 2 = 0}, and (iii) D has โ€ฆ