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$\mathbf{A}_{\text{inf}}$ is infinite dimensional (1906.03583v1)
Published 9 Jun 2019 in math.NT and math.AC
Abstract: Given a perfect valuation ring $R$ of characteristic $p$ that is complete with respect to a rank-$1$ nondiscrete valuation, we show that the ring $\mathbf{A}_{\text{inf}}$ of Witt vectors of $R$ has infinite Krull dimension.
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