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nLab > Latest Changes: sheaf of meromorphic functions

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 28th 2012
    • (edited Sep 28th 2012)

    Adeel Khan created sheaf of meromorphic functions.

    (He currently has problems logging into here, that’s why I am posting this for the moment.)

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeSep 12th 2021
    I am be completely mistaken here, but it seems like the definition of the sheaf of meromorphic functions given suffers from precisely the "misconception" outlined in Kleinman's famous paper. Namely that a non-zero divisor over $U$ maybe fail to be a non-zero divisor when restricted to a subset $V$ of $U$.

  3. 2 is right (unless s∈Γ(U,𝒪 X)s\in\Gamma(U,\mathcal{O}_X) not being a zero divisor means U⊧¬(s is a zero divisor)U\models\neg(s\text{ is a zero divisor}) in the Kripke-Joyal semantics). Also added a link to Kleiman’s paper.

    Anonymous

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorGuest
    • CommentTimeSep 12th 2021
    (Sorry for the big text – I hadn’t foreseen the hash at the beginning would make the rest of the line a title…) —the previous Anonymous
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2021

    Thanks for the edit!

    Regarding the large font: on the nForum you can edit all your messages indefinitely after posting them. Just find the “edit” button on the top right of any message you have authored.

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