descriptionPublicationkeyboard_double_arrow_right Article 16 Nov 2007 English Publisher:Cambridge University Press (CUP)Journal:Journal of the Institute of Mathematics of Jussieu, volume 7, pages 291-325 (issn: 1474-7480, eissn: 1475-3030,

Authors: IOVITA, ADRIAN; DARMON H.;

doi: 10.1017/s1474748008000042

handle: 11577/2270420

THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES

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Abstract

The Main Conjecture of Iwasawa theory for an elliptic curve is a prime of supersingular reduction. The foundational study of supersingular main conjectures carried out by Perrin-Riou, Pollack, Kurihara, Kobayashi and Iovita and Pollack are required to handle this case in which many of the simplifying features of the ordinary setting break down.

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