DOI

The rigidity theorem for homotopy invariant presheaves with Witt-transfers on the category of smooth schemes over a field k of characteristic different form two is proved. Namely, for any such sheaf F, isomorphism F(U) F(x) is established, where U is an essentially smooth local Henselian scheme with a separable residue field over k. As a consequence, the rigidity theorem for the presheaves Wi(-xY) for any smooth Y over k is obtained, where the Wi(-) are derived Witt groups. Note that the result of the work is rigidity with integral coefficients. Other known results are state isomorphisms with finite coefficients.

Язык оригиналаанглийский
Страницы (с-по)657-673
Число страниц17
ЖурналSt. Petersburg Mathematical Journal
Том31
Номер выпуска4
DOI
СостояниеОпубликовано - 2020

    Предметные области Scopus

  • Анализ
  • Алгебра и теория чисел
  • Прикладная математика

ID: 98952314