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.
The Greenberg functor revisited
Bertapelle, Alessandra;
2018
Abstract
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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