Intersection theory on Shimura surfaces

DOI10.1112/S0010437X09003935zbMath1170.14018arXiv1202.6378OpenAlexW2006892032MaRDI QIDQ3628247

Benjamin Howard

Publication date: 19 May 2009

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

Full work available at URL: https://arxiv.org/abs/1202.6378

zbMATH Keywords

Shimura varietiesArakelov theoryKudla's program

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (3)

Intersections of arithmetic Hirzebruch-Zagier cycles ⋮ Intersection theory on Shimura surfaces. II ⋮ Unitary cycles on Shimura curves and the Shimura lift II

Cites Work

• Intersection theory on algebraic stacks and on their moduli spaces
• Intersection theory on algebraic stacks and Q-varieties
• Intersection theory using Adams operations
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Arithmetic intersection theory
• Central derivatives of Eisenstein series and height pairings
• Integral models of certain Shimura curves
• Height pairings on Shimura curves and \(p\)-adic uniformization
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• Points on Some Shimura Varieties Over Finite Fields
• On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structure
• Moving lemma for K1 -chains
• Arithmetic Hirzebruch Zagier cycles
• ON THE HILBERT–BLUMENTHAL MODULI PROBLEM

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