La conjecture ε locale de Kato en dimension 2
classification
🧮 math.NT
keywords
conjecturedimensionepsilonkatoabsoluteadicallowscomplete
read the original 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 $\epsilon$-conjecture in dimension $2$.
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