Complex multiplication cycles and Kudla-Rapoport divisors

DOI10.4007/annals.2012.176.2.9zbMath1327.14126arXiv1303.0545OpenAlexW2963697750MaRDI QIDQ456673

Benjamin Howard

Publication date: 16 October 2012

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

Full work available at URL: https://arxiv.org/abs/1303.0545

zbMATH Keywords

Arakelov theoryarithmetic intersection theoryunitary Shimura varieties

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (12)

Serre's tensor construction and moduli of abelian schemes ⋮ Faltings heights of abelian varieties with complex multiplication ⋮ Special cycles on the basic locus of unitary Shimura varieties at ramified primes ⋮ Height pairings on orthogonal Shimura varieties ⋮ Arithmetic diagonal cycles on unitary Shimura varieties ⋮ Unitary cycles on Shimura curves and the Shimura lift II ⋮ Weil representation and arithmetic fundamental lemma ⋮ Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions ⋮ CM values of higher automorphic Green functions for orthogonal groups ⋮ Chow groups andL-derivatives of automorphic motives for unitary groups, II. ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ Linear invariance of intersections on unitary Rapoport-Zink spaces

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