Greenberg algebras and ramified Witt vectors

Published 21 May 2018 in math.AG and math.NT | (1805.08049v2)

Abstract: Let O be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism between the Greenberg algebra of O and the special fiber of the scheme of ramified Witt vectors over O. It is a universal homeomorphism with pro-infinitesimal kernel that can be explicitly described in some cases.

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