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arXiv · 2003.05768

Stickelberger annihilators of logarithmic class groups

Jean-François Jaulent
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Abstract

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 {\'e}tale $\ell$-kernels of F .

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Jean-François Jaulent. 2020-03-12. Stickelberger annihilators of logarithmic class groups. https://arxiv.org/abs/2003.05768

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