A_(inf) is infinite dimensional
classification
🧮 math.NT
math.AC
keywords
infinitemathbfringtextvaluationcharacteristiccompletedimension
read the original 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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