Chow groups and \(L\)-derivatives of automorphic motives for unitary groups

DOI10.4007/annals.2021.194.3.6OpenAlexW3212811571MaRDI QIDQ2058614

Yifeng Liu, Chao Li

Publication date: 9 December 2021

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.06139

zbMATH Keywords

Chow groupsBeilinson-Bloch conjecturearithmetic inner product formula\(L\)-derivativesHeight pairing

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

On the arithmetic Siegel-Weil formula for GSpin Shimura varieties ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ Special cycles on unitary Shimura curves at ramified primes ⋮ A proof of the Kudla-Rapoport conjecture for Krämer models ⋮ Higher Siegel-Weil formula for unitary groups: the non-singular terms ⋮ A \(p\)-adic arithmetic inner product formula ⋮ Theta correspondence for almost unramified representations of unitary groups ⋮ Chow groups andL-derivatives of automorphic motives for unitary groups, II. ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ The universal \(p\)-adic Gross-Zagier formula ⋮ Kudla–Rapoport cycles and derivatives of local densities

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