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- W651555007 abstract "In this paper we propose and prove an anticyclotomic Iwasawa main conjecture for Heegner points on supersingular elliptic curves with $a_p=0$. The result has a $pm$ nature in the sense of Kobayashi. The proof uses a recent work of the second author on one divisibility in the Iwasawa--Greenberg main conjecture for Rankin-Selberg $p$-adic $L$-functions, together with an argument of Howard (adapted to our $pm$-situation). As a byproduct, we also obtain an improvement of Skinner's result on a converse to the Gross--Zagier--Kolyvagin theorem." @default.
- W651555007 created "2016-06-24" @default.
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- W651555007 date "2015-06-08" @default.
- W651555007 modified "2023-10-18" @default.
- W651555007 title "Iwasawa Main Conjecture for Heegner Points: Supersingular Case" @default.
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- W651555007 doi "https://doi.org/10.48550/arxiv.1506.02538" @default.
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