Shafarevich Conjecture

A conjecture that, as proved by Parshin (1968), implies the Mordell conjecture.

REFERENCES:

Parshin, A. N. "Algebraic Curves Over Function Fields." Izv. Akad. Nauk SSSR Ser. Mat. 32, 1145-1170, 1968. English translation Math. USSR Izv. 2, 1145-1170, 1968.

Stewart, I. The Problems of Mathematics, 2nd ed. Oxford, England: Oxford University Press, p. 45, 1987.