The kernel of Ribet's isogeny for genus three Shimura curves

DOI10.2969/jmsj/06820609zbMath1410.11068OpenAlexW2250714750MaRDI QIDQ296534

Santiago Molina, Josep González

Publication date: 23 June 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1460727372

zbMATH Keywords

Shimura curvesgenus three hyperelliptic curves

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)

Related Items (6)

Equations of hyperelliptic Shimura curves ⋮ On Ribet’s isogeny for $J_0(65)$ ⋮ Quaternionic loci in Siegel's modular threefold ⋮ Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16 ⋮ Galois extensions and a conjecture of Ogg

Cites Work

• Non-elliptic Shimura curves of genus one
• Equations of hyperelliptic modular curves
• On the real points of an arithmetic quotient of a bounded symmetric domain
• Ribet bimodules and the specialization of Heegner points
• Equations of hyperelliptic Shimura curves
• Finiteness results for modular curves of genus at least 2
• On the non-existence of exceptional automorphisms on Shimura curves
• ON p-ADIC POINCARÉ SERIES AND SHIMURA CURVES
• Abelian surfaces of GL₂-type as Jacobians of curves
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