In the anticyclotomic Z_p-extension there is no overconvergent lift of the field of norms, disproving Kedlaya's conjecture on locally analytic vectors.
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Locally analytic vectors and $\mathbf{Z}_p$-extensions
In the anticyclotomic Z_p-extension there is no overconvergent lift of the field of norms, disproving Kedlaya's conjecture on locally analytic vectors.