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arXiv · 2310.10468

Annihilating class groups in $p$-elementary extensions

Dominik Bullach·Daniel Macias Castillo
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Abstract

We derive new cases of conjectures of Rubin and of Burns--Kurihara--Sano concerning derivatives of Dirichlet $L$-series at $s = 0$ in $p$-elementary extensions of number fields for arbitrary prime numbers $p$. In naturally arising examples of such extensions one therefore obtains annihilators of class groups from $S$-truncated Dirichlet $L$-series for `large-enough' sets of places $S$.

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Dominik Bullach, Daniel Macias Castillo. 2023-10-16. Annihilating class groups in $p$-elementary extensions. https://arxiv.org/abs/2310.10468

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