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math.CV2003
Maps conjugating holomorphic maps in C^n
Gregery T. Buzzard, Sergei Merenkov
If f is a bijection from C^n onto a complex manifold M, which conjugates every holomorphic map in C^n to an endomorphism in M, then we prove that f is necessarily biholomorphic or…
math.CV2002
A negative answer to Nevanlinna's type question and a parabolic surface with a lot of negative curvature
Itai Benjamini, Sergei Merenkov, Oded Schramm
Consider a simply connected Riemann surface represented by a Speiser graph. Nevanlinna asked if the type of the surface is determined by the mean excess of the graph: whether mean…