Geodesic
Complex multiplication cycles and Kudla-Rapoport divisors
Benjamin Howard1
1 Department of Mathematics, Boston College, Chestnut Hill, MA 92467
Annals of mathematics, Tome 176 (2012) no. 2, pp. 1097-1171.

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

We study the intersections of special cycles on a unitary Shimura variety of signature $(n-1,1)$ and show that the intersection multiplicities of these cycles agree with Fourier coefficients of Eisenstein series. The results are new cases of conjectures of Kudla and suggest a Gross-Zagier theorem for unitary Shimura varieties.
DOI : 10.4007/annals.2012.176.2.9

Benjamin Howard 1

1 Department of Mathematics, Boston College, Chestnut Hill, MA 92467 
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Benjamin Howard. Complex multiplication cycles and  Kudla-Rapoport divisors. Annals of mathematics, Tome 176 (2012) no. 2, pp. 1097-1171. doi : 10.4007/annals.2012.176.2.9. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.176.2.9/

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