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nLab > Latest Changes: Greenberg scheme

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  1. This page goes over the construction of Greenberg schemes associated to schemes over a complete DVR, and that of Greenberg schemes associated to locally Noetherian R-adic formal schemes.

    There are many things I have not included in my first pass at this article. I have not yet put much effort into emphasizing the connections between these objects and motivic integration. A more fleshed out references section is certainly in order. In terms of content, the following can (and probably should) all be added: 1. A proof of some of the assertions of representability. 2. A sketch of how Greenberg schemes generalize arc schemes. 3. Constructible subsets and measurable subsets of Greenberg schemes. 4. Motivic integration on Greenberg schemes. I will do so myself if I get around to it before anyone else happens to. Although, perhaps some of this content should be relegated to the page on motivic integration.

    Charlie Conneen

    v1, current

  2. fixed typos.

    Charlie Conneen

    v1, current

  3. fixed formatting.

    Charlie Conneen

    v1, current

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