Sur le lemme de Brody

Mathematics – Complex Variables

Scientific paper

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Scientific paper

10.1007/s00222-008-0119-9

Brody's lemma is a basic tool in complex hyperbolicity. We present a version
of it making more precise the localization of an entire curve coming from a
diverging sequence of holomorphic discs. As a byproduct we characterize
hyperbolicity in terms of an isoperimetric inequality.

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