Stark–Heegner points and special values of L-series
نویسندگان
چکیده
Let E be an elliptic curve over Q attached to a newform f of weight two on Γ0(N). Let K be a real quadratic field, and let p||N be a prime of multiplicative reduction for E which is inert in K, so that the p-adic completion Kp of K is the quadratic unramified extension of Qp. Subject to the condition that all the primes dividing M := N/p are split in K, the article [Dar] proposes an analytic construction of “Stark–Heegner points” in E(Kp), and conjectures that these points are defined over specific class fields of K. More precisely, let
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