Abstract
In earlier work, the second named author described how to extract Darmon-style -invariants from modular forms on Shimura curves that are special at . In this paper, we show that these -invariants are preserved by the Jacquet–Langlands correspondence. As a consequence, we prove the second named author’s period conjecture in the case where the base field is . As a further application of our methods, we use integrals of Hida families to describe Stark–Heegner points in terms of a certain Abel–Jacobi map.
Citation
Samit Dasgupta. Matthew Greenberg. "$\mathscr{L}$-invariants and Shimura curves." Algebra Number Theory 6 (3) 455 - 485, 2012. https://doi.org/10.2140/ant.2012.6.455
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