Teitelbaum's exceptional zero conjecture in the anticyclotomic setting

Teitelbaum formulated a conjecture relating first derivatives of the Mazur-Swinnerton-Dyer p-adic L-functions attached to modular forms of even weight k greater than or equal to 2 to certain L-invariants arising from Shimura curve parametrizations. This article formulates an analogue of Teitelbaum's conjecture in which the cyclotomic Z(p) extension of Q is replaced by the anticyclotomic Z(p)-extension of an imaginary quadratic field. This analogue is then proved by using the Cerednik-Drinfeld theory of p-adic uniformisation of Shimura curves.