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math.NT2024
The Gross--Kohnen--Zagier theorem via -adic uniformization
Lea Beneish, Henri Darmon, Lennart Gehrmann +1
This article gives a new proof of the Gross--Kohnen--Zagier theorem for Shimura curves which exploits the -adic uniformization of Cerednik--Drinfeld. The explicit description of…
math.NT2019
On the -invariant of the adjoint of a weight one modular form
Marti Roset, Victor Rotger, Vinayak Vatsal
The purpose of this article is proving the equality of two natural -invariants attached to the adjoint representation of a weigth one cusp form, each defined by purely…