The main conjecture for CM elliptic curves at supersingular primes

Robert Pollack, Karl Rubin
2004 Annals of Mathematics  
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 similar in structure to the ordinary case.
doi:10.4007/annals.2004.159.447 fatcat:csry3viirjhx5nmiatevicbxti