A note on augmented period maps

DOI10.1007/s00013-022-01765-7zbMath1497.14019OpenAlexW4293340293MaRDI QIDQ2085569

Leonardo A. Lerer

Publication date: 18 October 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01765-7

zbMATH Keywords

o-minimalityperiod mapsstrata of holomorphic differentials

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• Splitting mixed Hodge structures over affine invariant manifolds
• Moduli spaces of quadratic differentials
• Linear manifolds in the moduli space of one-forms
• The Teichmüller geodesic flow
• Variation of Hodge structure: The singularities of the period mapping
• On the closure of the Hodge locus of positive period dimension
• Translation surfaces and their orbit closures: an introduction for a broad audience
• Equations différentielles à points singuliers réguliers
• On the implicit function theorem in o-minimal structures
• Complex analytic geometry and analytic-geometric categories
• Tame topology of arithmetic quotients and algebraicity of Hodge loci
• Bi-algebraic geometry and the André-Oort conjecture

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