A rigid analytic Gross-Zagier formula and arithmetic applications
نویسندگان
چکیده
1 Gross’ formula for special values of L-series . . . . . . . . . . . . . . . 4 2 Bad reduction of Shimura curves . . . . . . . . . . . . . . . . . . . 5 3 Heegner points and connected components . . . . . . . . . . . . . . . 7 4 Proof of Theorem A . . . . . . . . . . . . . . . . . . . . . . . . . 9 5 A rigid analytic Gross-Zagier formula . . . . . . . . . . . . . . . . 11 6 Kolyvagin cohomology classes . . . . . . . . . . . . . . . . . . . . 13 7 Bounding Mordell-Weil groups . . . . . . . . . . . . . . . . . . . 20 8 Mordell-Weil groups in anticyclotomic towers . . . . . . . . . . . . . 24
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