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    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTimeApr 30th 2011
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 30th 2011

    I have edited it a bit. We need an entry closed morphism, then.

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeApr 30th 2011

    Universally closed morphisms are in KR 6.8.1 interpreted in terms of formal M vM_v-smoothness in the sense of 6.3 and for a specific class M vM_v related to valuation rings. Similarly for properness and separatedness. This is just a reinterpretation of the valuative criteria of Chevalley in the generality of EGA II. So I created entries EGA II, valuative criterion of separatedness and valuative criterion of properness. For the latter cf. also the diagram at wikipedia proper morphism.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 30th 2011

    Thanks. I have to run now. Will try to look at this later.

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