Let  be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism r: R_O→W_{O,k} 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 proinfinitesimal kernel that can be explicitly described in some cases.

Greenberg algebras and ramified Witt vectors

Bertapelle A.;Candilera M.
2020

Abstract

Let  be a complete discrete valuation ring of mixed characteristic and with finite residue field k. We study a natural morphism r: R_O→W_{O,k} 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 proinfinitesimal kernel that can be explicitly described in some cases.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3392227
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