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arXiv · 2608.20782

Euler characteristic of the Selmer group attached to an Artin representation

Subhasis Panda
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Abstract

Longo and Vigni extended a result of Greenberg by giving a relation between the cardinality of the Selmer group and the characteristic power series of its Pontryagin dual over the cyclotomic $\mathbb{Z}_p$-extension for a $p$-adic Galois representation. In this paper, we extend this result to the case of Artin representations, following the framework of Greenberg and Vatsal.

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Subhasis Panda. 2026-08-21. Euler characteristic of the Selmer group attached to an Artin representation. https://arxiv.org/abs/2608.20782

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