The anticyclotomic Main Conjecture for elliptic curves at supersingular primes
نویسندگان
چکیده
The Main Conjecture of Iwasawa theory for an elliptic curve E over Q and the anticyclotomic Zp-extension of an imaginary quadratic field K was studied in [BD2], in the case where p is a prime of ordinary reduction for E. Analogous results are formulated, and proved, in the case where p is a prime of supersingular reduction. The foundational study of supersingular main conjectures carried out by Perrin-Riou [PR2], [PR4], Pollack [Po1], Kurihara [Ku], Kobayashi [Kob], and Iovita-Pollack [IP] are required to handle this case in which many of the simplifying features of the ordinary setting break down.
منابع مشابه
The main conjecture for CM elliptic curves at supersingular primes
At a prime of ordinary reduction, the Iwasawa “main conjecture” for elliptic curves relates a Selmer group to a p-adic L-function. In the supersingular case, the statement of the main conjecture is more complicated as neither the Selmer group nor the p-adic L-function is well-behaved. Recently Kobayashi discovered an equivalent formulation of the main conjecture at supersingular primes that is ...
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