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arXiv · 1702.05637

La conjecture $ε$ locale de Kato en dimension $2$

Joaquín Rodrigues Jacinto
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Abstract

We show an Iwasawa functional equation for a two dimensional $p$-adic representation of the absolute Galois group of $\mathbf{Q}_p$. This allows us to complete Nakamura's proof of Kato's local $ε$-conjecture in dimension $2$.

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Joaquín Rodrigues Jacinto. 2018-02-16. La conjecture $ε$ locale de Kato en dimension $2$. https://arxiv.org/abs/1702.05637

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