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The Greenberg functor revisited. (English) Zbl 1446.11123

Summary: We extend Greenberg’s original construction to arbitrary schemes over (certain types of) local Artinian rings. We then establish a number of properties of the extended functor and determine, for example, its behavior under Weil restriction. We also discuss a formal analog of the functor.

MSC:

11G25 Varieties over finite and local fields
14G20 Local ground fields in algebraic geometry
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