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Heegner Point Kolyvagin System and Iwasawa Main Conjecture
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In this paper we prove an anticyclotomic Iwasawa main conjecture proposed by Perrin-Riou 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.
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Cited by 2 Pith papers
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A proof of Perrin-Riou's Heegner point main conjecture
The authors prove Perrin-Riou's Heegner point main conjecture for elliptic curves over the rationals under mild hypotheses, and also prove the Iwasawa-Greenberg main conjecture for Bertolini-Darmon-Prasanna p-adic L-f...
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On Howard's main conjecture and the Heegner point Kolyvagin system
The paper upgrades Howard's divisibility to the full Howard main conjecture when the Heegner-point Kolyvagin system is primitive, and shows the conjecture is equivalent to primitivity plus a Tamagawa-factor condition.
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