Heights and moments of abelian varieties

We give a formula which, for a principally polarized abelian variety $(A,\lambda)$ over the field of algebraic numbers, relates the stable Faltings height of $A$ with the N\'eron-Tate height of $(A,\lambda)$. Our formula completes earlier results due to Bost, Hindry, Autissier and Wagener, and it extends the well-known Faltings-Silverman formula for the stable Faltings height of an elliptic curve. (Joint work with Robin de Jong)

Zoom: https://washington.zoom.us/j/689897930