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math.AGMay 4, 2011
28
citations (OpenAlex)
authors
  • J. S. Milne
arXiv abstractPDF
paper

Shimura Varieties and Moduli

arXiv:1105.0887

Abstract

Connected Shimura varieties are the quotients of hermitian symmetric domains by discrete groups defined by congruence conditions. We examine their relation with moduli varieties. (Handbook of Moduli).

For technical reasons, the pdf file on my website is of a significantly better quality than the arXiv file

References in corpus (1)

  • Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre

Cited by in corpus (14)

  • Special Geometry and the Swampland
  • The LLV decomposition of hyper-Kaehler cohomology
  • Swampland geometry and the gauge couplings
  • Hodge metric completion of the moduli space of Calabi-Yau manifolds
  • From local Torelli to global Torelli
  • GIT and moduli with a twist
  • A tour on Hermitian symmetric manifolds
  • Boundedness of the images of period maps and applications
  • Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles
  • Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures
  • Algebraic groups as automorphism groups of algebras
  • L2-minimal extensions over Hermitian symmetric domains
  • Classification of the Mumford--Tate Groups of Rational Polarizable Hodge Structures
  • Boundedness of the Images of Period Maps
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