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Courbes de Shimura hyperelliptiques

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Publication:4740672
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DOI10.24033/bsmf.1938zbMath0505.14024OpenAlexW2584876030MaRDI QIDQ4740672

Jean Francis Michon

Publication date: 1981

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1981__109__217_0


zbMATH Keywords

hyperelliptic curveShimura curvesalgebra of quaternions


Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Skew fields, division rings (12E15)


Related Items

On Ribet’s isogeny for $J_0(65)$ ⋮ Fundamental domains for Shimura curves. ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ Shimura curve quotients with odd Jacobians ⋮ THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS ⋮ On QM-abelian surfaces with model of GL\(_{2}\)-type over \(\mathbb Q\)



Cites Work

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  • Arithmétique des algèbres de quaternions
  • Construction of class fields and zeta functions of algebraic curves
  • Hyperelliptic modular curves
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