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" (in German). Inventiones Mathematicae 73 (3): 349-366. doi:10.1007/BF01388432.

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