Skip to main content
2 of 2
Fixed spelling of Faltings in the title
Joe Silverman
  • 47.4k
  • 2
  • 149
  • 241

Faltings height of a CM abelian variety

Let A be a CM abelian variety, say simple of dimension g, with $End(A) = O_K$, where $K$ is a CM field of degree $2g$.

Is there an upper bound for the Faltings height $h(A)$ in terms of the discriminant $d_K$ of $K$?

user42721
  • 547
  • 2
  • 9