Abstract
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.
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TITLE = {Travaux de {Z}ink},
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AUTHOR = {Zink, Thomas},
TITLE = {The display of a formal {$p$}-divisible group},
BOOKTITLE = {Cohomologies $p$-Adiques et Applications Arithm{é}tiques, I},
SERIES = {Astérisque},
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ISSN = {0303-1179},
MRCLASS = {14L05 (14F30)},
MRNUMBER = {1922825},
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ZBLNUMBER = {1008.14008},
}
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