Conformal and Holomorphic Mappings of Once-holed Tori

Makoto Masumoto

Abstract


We survey recent developments on conformal and holomorphic mappings of once-holed tori into Riemannsurfaces of positive genus. We are mainly concerned with the sets of marked once-holed tori which allow handlepreservingconformal and holomorphic mappings into a given marked Riemann surface.

 


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