Faltings' Theorem/Historical Note

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Historical Note on Faltings' Theorem

The result now known as Faltings' Theorem was originally known as Mordell's Conjecture, after Louis Joel Mordell.

Gerd Faltings published a proof of it in his $1983$ paper: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern (Inventiones Mathematicae Vol. 73, no. 3: 349 – 366).