Iwasawa theory for modular forms at supersingular primes
Iwasawa theory for modular forms at supersingular primes
复制标题
超奇异素数模形式的岩泽理论
作者：
Antonio Lei
摘要我们的Kobayashi的概括为iWasawa的主要猜想提供了超大型素数的模块化形式，我们给出了正常化的新形式的任意权重和相关Pollack的Plus和Sinus Coleman地图 - 通过对CM椭圆曲线的Pollack和Rubin的概括，对Plus和减去Selmer组的功能，我们证明了CM模块化形式的“主要猜想”。
Abstract We generalise works of Kobayashi to give a formulation of the Iwasawa main conjecture for modular forms at supersingular primes. In particular, we give analogous definitions of the plus and minus Coleman maps for normalised new forms of arbitrary weights and relate Pollack’s p-adic L-functions to the plus and minus Selmer groups. In addition, by generalising works of Pollack and Rubin on CM elliptic curves, we prove the ‘main conjecture’ for CM modular forms.