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15 January 2019 Arithmetic theta lifts and the arithmetic Gan–Gross–Prasad conjecture for unitary groups
Hang Xue
Duke Math. J. 168(1): 127-185 (15 January 2019). DOI: 10.1215/00127094-2018-0039

Abstract

We propose a precise formula relating the height of certain diagonal cycles on the product of unitary Shimura varieties and the central derivative of some tensor product L-functions. This can be viewed as a refinement of the arithmetic Gan–Gross–Prasad conjecture. We use the theory of arithmetic theta lifts to prove some endoscopic cases of it for U(2)×U(3).

Citation

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Hang Xue. "Arithmetic theta lifts and the arithmetic Gan–Gross–Prasad conjecture for unitary groups." Duke Math. J. 168 (1) 127 - 185, 15 January 2019. https://doi.org/10.1215/00127094-2018-0039

Information

Received: 6 June 2017; Revised: 12 June 2018; Published: 15 January 2019
First available in Project Euclid: 17 December 2018

zbMATH: 07036281
MathSciNet: MR3909895
Digital Object Identifier: 10.1215/00127094-2018-0039

Subjects:
Primary: 11F70
Secondary: 11G50

Keywords: arithmetic Gan–Gross–Prasad conjecture

Rights: Copyright © 2019 Duke University Press

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Vol.168 • No. 1 • 15 January 2019
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