Almost purity and overconvergent Witt vectors

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Almost Purity for Overconvergent Witt Vectors

In a previous paper, we stated a general almost purity theorem in the style of Faltings: if R is a ring for which the Frobenius maps on finite p-typical Witt vectors over R are surjective, then the integral closure of R in a finite étale extension of R[p−1] is “almost” finite étale over R. Here, we use almost purity to lift the finite étale extension of R[p−1] to a finite étale extension of rin...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2015

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2014.08.055