The kernel of Ribet's isogeny for genus three Shimura curves
نویسندگان
چکیده
منابع مشابه
The Kernel of Ribet’s Isogeny for Genus Three Shimura Curves
There are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves and, moreover, for each D we determine a subgroup c(D) of cuspidal divisors of degree zero of Jac(X0(D)) such that the abelian variety Jac(X0(D))/c(D) is the jacobian of the curve XD.
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2016
ISSN: 0025-5645
DOI: 10.2969/jmsj/06820609