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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2014

    I have given external tensor product its own entry.

    What I would really like to do for the moment is record there sufficient conditions under which the fiber over X 1×X 2X_1 \times X_2 is generated from external tensor products. I have added two references that discuss this for quasicoherent sheaves, but otherwise there is no discussion yet. Am being interrupted now.

    (What I really want eventually is conditions such that Mod(X 1×X 2)Mod(X 1) Mod(*)Mod(X 2)Mod(X_1 \times X_2) \simeq Mod(X_1) \otimes_{Mod(\ast)}Mod(X_2) )

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 15th 2022

    added a textbook reference, for completeness:

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJul 15th 2022

    Corrected the authors: it’s three authors, not one:

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 16th 2022

    That’s what I used to think, but when I grabbed the reference yesterday and looked at its publisher page here I saw a cover showing only Greub as author – which made me wonder to myself that maybe only the later volumes are coauthored.

    I should have known better of course. And on another page here the publishing house lists three authors but chooses to heavily misspell Greub’s name. (Apparently these pages are all computer-generated with no editor looking over them.)

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJul 16th 2022

    (Apparently these pages are all computer-generated with no editor looking over them.)

    Yes, these are OCRed scans, so they also misspelled Halperin and the title of the book (“De Rbam”)!

    Also, in the table of contents Greub’s name is misspelled in one more way: Grab.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 16th 2022

    Yes, clearly they are not re-investing the revenue they make from exploiting academia. The joke is on us.

    I had been well aware of the general phenomenon, but that they now auto-generate false covers for their own publications did catch me off-guard.

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