Schwarz lemmas via the pluricomplex Green's function
arXiv:1812.10337 · doi:10.1007/s12220-019-00232-0
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.
Lemma 22 has been deleted. Some minor fixes