2017/04/11 by Alexey Ananyevskiy, Ananyevskiy, Alexey, Andrei Druzhinin +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1704.03483
openalex publication_date 2017/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A rigidity property for the homotopy invariant stable linear framed\npresheaves is established. As a consequence a variant of Gabber rigidity\ntheorem is obtained for a cohomology theory representable in the motivic stable\nhomotopy category by a \φ-torsion spectrum with \φ\∈\GW(k) of\nrank coprime to the (exponential) characteristic of the base field k. It is\nshown that the values of such cohomology theories at an essentially smooth\nHenselian ring and its residue field coincide. The result is applicable to\ncohomology theories representable by n-torsion spectra as well as to the ones\nrepresentable by \η-periodic spectra and spectra related to Witt groups.\n