Arithmetic theta lifting and \(L\)-derivatives for unitary groups. II

DOI10.2140/ant.2011.5.923zbMath1258.11061OpenAlexW2919941434MaRDI QIDQ435265

Yifeng Liu

Publication date: 11 July 2012

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/ant/2011/5-7/p02.xhtml

zbMATH Keywords

arithmetic inner product formulaarithmetic theta liftingL-derivativesunitary Shimura curves

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Heights (11G50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (11)

Modularity of special cycles on unitary Shimura varieties over CM-fields ⋮ From sum of two squares to arithmetic Siegel–Weil formulas ⋮ A \(p\)-adic arithmetic inner product formula ⋮ Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups ⋮ ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS ⋮ Linear forms, algebraic cycles, and derivatives of \(L\)-series ⋮ Mixed Arithmetic Theta Lifting for Unitary Groups ⋮ Chow groups andL-derivatives of automorphic motives for unitary groups, II. ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ Special cycles on unitary Shimura varieties with minuscule parahoric level structure ⋮ Kudla–Rapoport cycles and derivatives of local densities

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