Preprint
Oct 2026
The Schwarzian derivative in several complex variables univalence and geometry
In one complex variable the Schwarzian derivative characterizes the M\"obius transformations, arises from a second-order linear equation, and controls univalence through the theorems of Nehari and of Ahlfors--Weill. This chapter presents what is known about these three properties for locally biholomorphic mappings in $...
R. Hernández
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