论文标题
Stickelberger an灭班级班级的歼灭者
Stickelberger annihilators of logarithmic class groups
论文作者
论文摘要
对于任何奇数质数$ \ ell $和包含$ \ ell $ - 统一根源的任何Abelian Number Field f，我们表明Stickelberger理想歼灭了$ \ ell $ - 对数类别的想象中的成分，并且其反射可以歼灭Bertrandias-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-Payan-payan。结果，我们为所谓的野生{é}故事$ \ ell $ -Kernels获得了一个非常简单的歼灭结果证明。
For any odd prime number $\ell$ and any abelian number field F containing the $\ell$-th roots of unity, we show that the Stickelberger ideal annihilates the imaginary component of the $\ell$-group of logarithmic classes and that its reflection annihilates the real componen of the Bertrandias-Payan module. As a consequence we obtain a very simple proof of annihilation results for the so-called wild {é}tale $\ell$-kernels of F .
