Rigidity for linear framed presheaves and generalized motivic cohomology theories

Alexey Ananyevskiy, Andrei Druzhinin

    Результат исследований: Научные публикации в периодических изданияхстатья

    Выдержка

    A rigidity property for the homotopy invariant stable linear framed presheaves is established. As a consequence a variant of Gabber rigidity theorem is obtained for a cohomology theory representable in the motivic stable homotopy category by a ϕ-torsion spectrum with ϕ∈GW(k) of rank coprime to the (exponential) characteristic of the base field k. It is shown that the values of such cohomology theories at an essentially smooth Henselian ring and its residue field coincide. The result is applicable to cohomology theories representable by n-torsion spectra as well as to the ones representable by η-periodic spectra and spectra related to Witt groups.

    Язык оригиналаанглийский
    Страницы (с-по)423-462
    Число страниц40
    ЖурналAdvances in Mathematics
    Том333
    DOI
    СостояниеОпубликовано - 31 июл 2018

    Отпечаток

    Motivic Cohomology
    Presheaves
    Rigidity
    Cohomology
    Torsion
    Witt Group
    Stable Homotopy
    Coprime
    Homotopy
    Ring
    Invariant
    Theorem

    Предметные области Scopus

    • Математика (все)

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    Rigidity for linear framed presheaves and generalized motivic cohomology theories. / Ananyevskiy, Alexey; Druzhinin, Andrei.

    В: Advances in Mathematics, Том 333, 31.07.2018, стр. 423-462.

    Результат исследований: Научные публикации в периодических изданияхстатья

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