论文标题
$ p $ ramified Iwasawa模块的理想在完全真实的领域上
Fitting ideals of $p$-ramified Iwasawa modules over totally real fields
论文作者
论文摘要
我们使用第二作者最近开发的移动拟合理想，完全计算出所有完全真实领域的Abelian Extension $ k/k $的经典$ p $ P $ ramified Iwasawa模块的合适理想。这将第一和第三作者的以前的结果概括为我们必须假设只有$ p $ - ad的地方可以以$ k/k $的速度进行分析。重要成分之一是计算适当的衍生类别中的某些复合物。
We completely calculate the Fitting ideal of the classical $p$-ramified Iwasawa module for any abelian extension $K/k$ of totally real fields, using the shifted Fitting ideals recently developed by the second author. This generalizes former results by the first and third authors where we had to assume that only $p$-adic places may ramify in $K/k$. One of the important ingredients is the computation of some complexes in appropriate derived categories.
