Geodesic
Faltings heights of abelian varieties with complex multiplication
Fabrizio Andreatta1 ; Eyal Z. Goren2 ; Benjamin Howard3 ; Keerthi Madapusi Pera4
1 Dipartimento di Matematica ``Federigo Enriques", Università di Milano, Milano, Italia
2 Department of Mathematics and Statistics, McGill University, Montreal, QC, Canada
3 Department of Mathematics, Boston College, Chestnut Hill, MA
4 Department of Mathematics, University of Chicago, Chicago, IL
Annals of mathematics, Tome 187 (2018) no. 2, pp. 391-531

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $M$ be the Shimura variety associated with the group of spinor similitudes of a quadratic space over $\mathbb {Q}$ of signature $(n,2)$. We prove a conjecture of Bruinier-Kudla-Yang, relating the arithmetic intersection multiplicities of special divisors and big CM points on $M$ to the central derivatives of certain $L$-functions.

DOI : 10.4007/annals.2018.187.2.3

Fabrizio Andreatta 1 ; Eyal Z. Goren 2 ; Benjamin Howard 3 ; Keerthi Madapusi Pera 4

1 Dipartimento di Matematica ``Federigo Enriques", Università di Milano, Milano, Italia
2 Department of Mathematics and Statistics, McGill University, Montreal, QC, Canada
3 Department of Mathematics, Boston College, Chestnut Hill, MA
4 Department of Mathematics, University of Chicago, Chicago, IL 
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Fabrizio Andreatta; Eyal Z. Goren; Benjamin Howard; Keerthi Madapusi Pera. Faltings heights of abelian varieties with complex multiplication. Annals of mathematics, Tome 187 (2018) no. 2, pp. 391-531. doi: 10.4007/annals.2018.187.2.3

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