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.