Transcendence of values of Siegel automorphic functions

DOI10.1006/jnth.2000.2518zbMath0997.11057OpenAlexW1974852142MaRDI QIDQ1590275

Geoffroy Derome

Publication date: 1 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2518

zbMATH Keywords

abelian varietiescomplex multiplicationalgebraic quotients of periodscriteria for complex multiplicationtranscendence properties of automorphic functions

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Results involving abelian varieties (11J95)

Related Items (1)

Transcendence of the values of automorphic functions over \({\mathfrak H}\times{\mathfrak H}\)

Cites Work

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• Humbert surfaces and transcendence properties of automorphic functions
• Moduli and fibre systems of abelian varieties
• On analytic families of polarized abelian varieties and automorphic functions
• On transcendency of special values of arithmetic automorphic functions
• Criteria for complex multiplication and transcendence properties of automorphic functions.

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