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Heegner Point Kolyvagin System and Iwasawa Main Conjecture

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arxiv 1408.4043 v2 pith:ZI3W7NUO submitted 2014-08-18 math.NT

Heegner Point Kolyvagin System and Iwasawa Main Conjecture

classification math.NT
keywords conjecturemainheegneriwasawaproveaboveanticyclotomicauthor
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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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