We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It is an explicit formula which relates the Neron-Tate heights of CM points on abelian varieties and central… Click to show full abstract
We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It is an explicit formula which relates the Neron-Tate heights of CM points on abelian varieties and central derivatives of associated quadratic base change $L$-functions. Our proof is based on an arithmetic variant of a relative trace identity of Jacquet. This approach is proposed by W. Zhang.
Keywords:
formula;
zhang;
gross zagier;
function fields;
zagier zhang;
zhang formula
Journal Title: Mathematische Annalen
Year Published: 2021
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Journal Title: Mathematische Annalen
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!