Arithmetic diagonal cycles on unitary Shimura varieties

DOI10.1112/S0010437X20007289zbMath1456.14031arXiv1710.06962OpenAlexW3097472144MaRDI QIDQ5131207

Michael Rapoport, Brian D. Smithling, Wei Zhang

Publication date: 4 November 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06962

zbMATH Keywords

relative trace formulaspecial values of \(L\)-functionsGross-Zagier formulaunitary Shimura varietiesarithmetic Gan-Gross-Prasad conjecturearithmetic diagonal cycles

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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