The Greenberg functor revisited

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.

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Bibliographic Details
Published in:European journal of mathematics 2018-12, Vol.4 (4), p.1340-1389
Main Authors: Bertapelle, Alessandra, González-Avilés, Cristian D.
Format: Article
Language:English
Subjects:
Algebraic Geometry
Mathematics
Mathematics and Statistics
Research Article
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Description
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.
ISSN:2199-675X
2199-6768
DOI:10.1007/s40879-017-0210-0