Uniform boundedness of level structures on abelian varieties over complex function fields

DOI10.1007/s00208-006-0752-9zbMath1090.14013OpenAlexW1980624004MaRDI QIDQ2494343

Wing-Keung To, Jun-Muk Hwang

Publication date: 26 June 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0752-9

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Algebraic moduli of abelian varieties, classification (14K10) Automorphic forms in several complex variables (32N10)

Related Items (8)

Level structure, arithmetic representations, and noncommutative Siegel linearization ⋮ Subvarieties of quotients of bounded symmetric domains ⋮ Uniform boundedness of \(p\)-primary torsion of abelian schemes ⋮ On a weak variant of the geometric torsion conjecture ⋮ Lectures on the Ax–Schanuel conjecture ⋮ Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture ⋮ Arithmetic representations of fundamental groups. I. ⋮ Arithmetic representations of fundamental groups. II: Finiteness

Cites Work

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• The nonexistence of certain level structures on abelian varieties over complex function fields
• The Ahlfors-Schwarz lemma in several complex variables
• Hirzebruch's proportionality theorem in the non-compact case
• Shafarevich maps and plurigenera of algebraic varieties
• The adjunction theory of complex projective varieties
• Compactification of arithmetic quotients of bounded symmetric domains
• MODULI SPACE OF ABELIAN VARIETIES WITH LEVEL STRUCTURE OVER FUNCTION FIELDS
• Singularities of Pairs
• Volumes of complex analytic subvarieties of Hermitian symmetric spaces

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