Arithmeticity of the monodromy of some Kodaira fibrations

DOI10.1112/S0010437X19007668zbMath1473.14014arXiv1805.06789WikidataQ126624421 ScholiaQ126624421MaRDI QIDQ5203822

Bena Tshishiku, Nick Salter

Publication date: 9 December 2019

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

Full work available at URL: https://arxiv.org/abs/1805.06789

zbMATH Keywords

monodromymapping class groupsarithmetic groupssurface bundles

Mathematics Subject Classification ID

Geometric group theory (20F65) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Structure of modular groups and generalizations; arithmetic groups (11F06) Topology of vector bundles and fiber bundles (57R22)

Related Items (2)

Diophantine problems and \(p\)-adic period mappings ⋮ Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture

Cites Work

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• Prym representations of mapping class groups
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• Arithmetic quotients of the mapping class group
• The number of fiberings of a surface bundle over a surface
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Braid groups and Hodge theory
• Characteristic classes of fiberwise branched surface bundles via arithmetic groups
• Toward the structure of fibered fundamental groups of projective varieties
• Kodaira fibrations and beyond: methods for moduli theory
• Image of the Burau representation at \(d\)-th roots of unity.
• A certain type of irregular algebraic surfaces
• Superstrong approximation for monodromy groups

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