Height pairings on orthogonal Shimura varieties

DOI10.1112/S0010437X1600779XzbMath1428.11114arXiv1504.00852OpenAlexW3106094149MaRDI QIDQ5369306

Keerthi Madapusi Pera, Benjamin Howard, Fabrizio Andreatta, Eyal Z. Goren

Publication date: 16 October 2017

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

Full work available at URL: https://arxiv.org/abs/1504.00852

zbMATH Keywords

Shimura varietiescomplex multiplicationspecial divisorarithmetic intersection theory

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (8)

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields ⋮ Reductions of abelian surfaces over global function fields ⋮ The André-Oort conjecture for \(\mathcal A_g\) ⋮ Faltings heights of abelian varieties with complex multiplication ⋮ The height of CM points on orthogonal Shimura varieties and Colmez's conjecture ⋮ CM values of higher automorphic Green functions for orthogonal groups ⋮ Weakly holomorphic modular forms on \(\Gamma _{0}(4)\) and Borcherds products on unitary group \(\mathrm{U}(2,1)\) ⋮ On two arithmetic theta lifts

Cites Work

• Complex multiplication cycles and Kudla-Rapoport divisors
• Intersections of Hirzebruch--Zagier divisors and CM cycles
• Faltings heights of CM cycles and derivatives of \(L\)-functions
• Intersection theory on algebraic stacks and on their moduli spaces
• On canonical and quasi-canonical liftings
• Automorphic forms with singularities on Grassmannians
• Arithmetic intersection theory
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Faltings heights of abelian varieties with complex multiplication
• On two geometric theta lifts
• On the pullback of an arithmetic theta function
• Heights of Kudla-Rapoport divisors and derivatives of \(L\)-functions
• Cycles on Siegel threefolds and derivatives of Eisenstein series
• Special Values of Green Functions at Big CM Points
• 2-ADIC INTEGRAL CANONICAL MODELS
• Integral models for Shimura varieties of abelian type
• The Chowla–Selberg Formula and The Colmez Conjecture
• Borcherds forms and generalizations of singular moduli
• Clifford Algebras and Spinor Norms Over a Commutative Ring
• Geometric Invariant Theory
• Arithmetic Hirzebruch Zagier cycles
• Integral canonical models for Spin Shimura varieties
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)
• Travaux de Shimura
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