论文标题
在两变量的iWasawa理论和应用中拟合理想
Fitting ideals in two-variable equivariant Iwasawa theory and an application
论文作者
论文摘要
我们研究了iWasawa理论,用于假想二次场的两变量的阿贝尔扩展。本文的主要目标之一是使用$ p $ -adic $ l $ functions来描述伊瓦岛模块的合适理想。我们还向具有复杂乘法的椭圆曲线组提供了应用程序。
We study equivariant Iwasawa theory for two-variable abelian extensions of an imaginary quadratic field. One of the main goals of this paper is to describe the Fitting ideals of Iwasawa modules using $p$-adic $L$-functions. We also provide an application to Selmer groups of elliptic curves with complex multiplication.