Generalised automorphic sheaves and the proportionality principle of Hirzebruch-Mumford

DOI10.1017/s1474748023000300MaRDI QIDQ6665324

Fritz Hörmann

Publication date: 17 January 2025

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

Jacobi formsmodular formsChern classescusp formsautomorphic vector bundlesHirzebruch-Mumford proportionalityFourier-Jacobi categoriesgeneralised automorphic sheavestoroidal compactifications of mixed Shimura varieties

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Modular and Shimura varieties (14G35) Moduli, classification: analytic theory; relations with modular forms (14J15)

Cites Work

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• Algebraic geometry and analytic geometry
• Arithmetic vector bundles and automorphic forms on Shimura varieties. I
• Hirzebruch's proportionality theorem in the non-compact case
• Chern classes of automorphic vector bundles
• Descent for coherent sheaves along formal/open coverings
• The Geometric and Arithmetic Volume of Shimura Varieties of Orthogonal Type
• Complex Analytic Connections in Fibre Bundles
• Boundary cohomology of Shimura varieties. I. Coherent cohomology on toroidal compactifications
• Chern classes of automorphic vector bundles, II
• Categories and Sheaves
• Tautological rings of Shimura varieties and cycle classes of Ekedahl-Oort strata

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