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arXiv · 1408.1948

A short geometric proof of the Zalcman and Bieberbach conjectures

Samuel L. Krushkal
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Abstract

We show that complex geometric features of Teichmuller spaces create explicitly the extremals of generic homogeneous holomorphic functionals on univalent functions. In particular this gives proofs of the well-known Zalcman and Bieberbach conjectures and many new distortion theorems.

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Samuel L. Krushkal. 2014-08-08. A short geometric proof of the Zalcman and Bieberbach conjectures. https://arxiv.org/abs/1408.1948

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