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nLab > Latest Changes: Mordell conjecture

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1 to 15 of 15

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    • CommentRowNumber1.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Started sketch of proof.

    diff, v6, current

    • CommentRowNumber2.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Added idea behind proof of the Shafarevich conjecture from semisimplicity of Tate module and isogeny theorem.

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Added link to p-adic Hodge theory.

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Added statement of the isogeny theorem.

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Mentioned Faltings height.

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 2nd 2022

    Mentioned Hodge-Tate decomposition.

    diff, v6, current

    • CommentRowNumber7.
    • CommentAuthorThomas Holder
    • CommentTimeJul 3rd 2022

    Added a reference to

    • Spencer Bloch, The Proof of the Mordell Conjecture, Math. Int. 6 no.2 (1984) p.41-47.

    from which I also purloined a Weil quote.

    diff, v7, current

    • CommentRowNumber8.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added “other proofs” section.

    diff, v9, current

    • CommentRowNumber9.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added reference to Vojta, added section on effective Mordell conjecture and Kim’s work related to arithmetic gauge theory.

    diff, v9, current

    • CommentRowNumber10.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added period mappings to the description of Lawrence and Venkatesh’s method.

    diff, v9, current

    • CommentRowNumber11.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added Balakrishnan et al’s survey.

    diff, v9, current

    • CommentRowNumber12.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added link to Arakelov theory.

    diff, v10, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2022

    Just a remark on trivia:

    I suggest that if you request a hyperlink for an author name (by including it in square brackets) that you also create a brief page (which is easily done: One link to the author’s home page or Wikipedia page or similar, and a section “Selected writings” including at least that one bibitem which led to the author name being linked in the first place).

    Because, if you who requests them don’t create these author pages right away, then typically nobody does and the link remains broken forever, in which case it would have been better for everyone involved had the name not be linked.

    • CommentRowNumber14.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022
    Thanks for letting me know! I will be creating these author pages.
    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2022
    • (edited Jul 3rd 2022)

    Thanks!!

    If you could add the string category: people at the bottom of any author page, then it will appear listed here

1 to 15 of 15

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