Schwarz lemmas via the pluricomplex Green's function

Published 26 Dec 2018 in math.CV | (1812.10337v3)

Abstract: We prove a version of the Schwarz lemma for holomorphic mappings from the unit disk into the symmetric product of a Riemann surface. Our proof is function-theoretic and self-contained. The main novelty in our proof is the use of the pluricomplex Green's function. We also prove several other Schwarz lemmas using this function.

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Jaikrishnan Janardhanan

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