Degeneration of Hodge structures over Picard modular surfaces

DOI10.1142/S1793042117500622zbMath1401.11094arXiv1403.5187MaRDI QIDQ5269109

Giuseppe Ancona

Publication date: 15 June 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5187

zbMATH Keywords

modular formdegenerationweightautomorphic formShimura varietyHodge structuremotiveBaily-Borel compactificationPicard surface

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Complex multiplication and moduli of abelian varieties (11G15) Families, moduli, classification: algebraic theory (14J10) Arithmetic aspects of modular and Shimura varieties (11G18) Variation of Hodge structures (algebro-geometric aspects) (14D07) Cohomology of arithmetic groups (11F75)

Related Items (2)

On the interior motive of certain Shimura varieties: the case of Picard surfaces ⋮ On the intersection motive of certain Shimura varieties: the case of Siegel threefolds

Cites Work

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• On the interior motive of certain Shimura varieties: the case of Picard surfaces
• Motives for modular forms
• Decomposition of abelian motives
• Cusps of Picard modular surfaces
• On the Interior Motive of Certain Shimura Varieties: the Case of Hilbert-Blumenthal varieties
• Boundary motive, relative motives and extensions of motives
• Chow motives without projectivity
• Boundary cohomology of Shimura varieties, III: - Coherent cohomology on higher-rank boundary strata and applications to Hodge theory
• Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification
• Travaux de Shimura

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