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Fixed spelling of Faltings in the title
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Joe Silverman
Joe Silverman
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Flatings 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 $K$?

Flatings height 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 $K$?

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 $K$?

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user42721
user42721
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Flatings height 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 $K$?