Heegner Point Kolyvagin System and Iwasawa Main Conjecture

2014/08/18 by Wan, Xin
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1408.4043

Abstract

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.

Related

• Iwasawa Main Conjecture for Heegner Points: Supersingular Case
• On the Iwasawa Main Conjecture for generalized Heegner classes in a quaternionic setting
• Variation of anticyclotomic Iwasawa invariants in Hida families
• The Heegner point Kolyvagin system
• On Howard's main conjecture and the Heegner point Kolyvagin system