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Rational structure of \(X(N)\) over \(\mathbb{Q}\) and explicit Galois action on CM points

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Publication:519108
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DOI10.1007/s11401-016-1009-xzbMath1422.11141OpenAlexW2534460148MaRDI QIDQ519108

Tonghai Yang

Publication date: 4 April 2017

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1009-x


zbMATH Keywords

Galois actionexplicit reciprocity lawSiegel modular variety


Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)


Related Items (2)

Hilbert theta series and invariants of genus 2 curves ⋮ Difference of modular functions and their CM value factorization



Cites Work

  • On certain reciprocity-laws for theta functions and modular forms
  • On canonical models of arithmetic quotients of bounded symmetric domains
  • Constructing abelian surfaces for cryptography via Rosenhain invariants
  • Arithmetic Moduli of Elliptic Curves. (AM-108)
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