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.
Generalized H eegner cycles and p -adic R ankin L -series
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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.