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math.NT2010
Special values of L-functions and the arithmetic of Darmon points
Matteo Longo, Victor Rotger, Stefano Vigni
Building on our previous work on rigid analytic uniformizations, we introduce Darmon points on Jacobians of Shimura curves attached to quaternion algebras over Q and formulate conj…
math.NT2010
An irreducibility criterion for group representations, with arithmetic applications
M. Longo, S. Vigni
We prove a criterion for the irreducibility of an integral group representation ρover the fraction field of a noetherian domain R in terms of suitably defined reductions of ρat pri…