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On the transcendence of period images

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Publication:6562499
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DOI10.4310/jdg/1717772423MaRDI QIDQ6562499

David Urbanik

Publication date: 26 June 2024

Published in: Journal of Differential Geometry (Search for Journal in Brave)





Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Modular and Shimura varieties (14G35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)


Cites Work

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  • Rational maps to varieties of hyperbolic type
  • Analytic subgroups of affine algebraic groups
  • On the closure of the Hodge locus of positive period dimension
  • Ax-Schanuel for Shimura varieties
  • Rigidity of spreadings and fields of definition
  • The Ax-Schanuel conjecture for variations of Hodge structures
  • On the differentiation of De Rham cohomology classes with respect to parameters
  • Resolution of singularities of an algebraic variety over a field of characteristic zero. I
  • Mumford-Tate Groups and Domains
  • Jet and prolongation spaces
  • Néron Models
  • Absolute Hodge and ℓ-adic monodromy
  • Tame topology of arithmetic quotients and algebraicity of Hodge loci






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