Faltings height

In mathematics, the Faltings height of an abelian variety defined over a number field is a measure of its arithmetic complexity. It was introduced by Faltings (1983) in his proof of the Mordell conjecture.

See also

Raynaud's isogeny theorem

References

Cornell, Gary; Silverman, Joseph H. (1986). Arithmetic geometry. New York: Springer. ISBN 0387963111. → Contains an English translation of Faltings (1983)
Faltings, Gerd (1983). "Endlichkeitssätze für abelsche Varietäten über Zahlkörpern" [Finiteness theorems for abelian varieties over number fields]. Inventiones Mathematicae (in German). 73 (3): 349&ndash, 366. doi:10.1007/BF01388432. MR 0718935.

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