Heegner Point Kolyvagin System and Iwasawa Main Conjecture
نویسنده
چکیده
In this paper we prove an anticyclotomic Iwasawa main conjecture proposed by PerrinRiou for Heegner points when the global sign is −1, using a recent work of the author on one divisibility of Iwasawa-Greenberg main conjecture for Rankin-Selberg p-adic L-functions. As a byproduct we also prove the equality for the above mentioned main conjecture under some local conditions, and an improvement of C.Skinner’s result on a converse of Gross-Zagier-Kolyvagin theorem.
منابع مشابه
Explicit Heegner Points: Kolyvagin’s Conjecture and Non-trivial Elements in the Shafarevich-Tate Group
Kolyvagin used Heegner points to associate a system of cohomology classes to an elliptic curve over Q and conjectured that the system contains a non-trivial class. His conjecture has profound implications on the structure of Selmer groups. We provide new computational and theoretical evidence for Kolyvagin’s conjecture. More precisely, we explicitly compute Heegner points over ring class fields...
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