On torsion spaces

2023/08/28 by Vishik, Alexander
#14F42 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.14318

Abstract

The purpose of this note is to construct examples of compact torsion objects of \cal SH(F) of every p-level over an arbitrary field of characteristic different from p. We adapt the approach of Mitchell to the algebraic situation. We show that the respective level is determined by the action of the v_m-elements on the MGL-motive, and also prove the refinement which permits to distinguish isotropic Morava points of the Balmer spectrum of \cal SH(F).

Related

• Torsion points in families of Drinfeld modules
• Subtle Invariants of F-crystals
• Torsion of rank-two A-motives values in odd characteristic cyclotomic towers
• Representations semi-stables de torsion dans le cas peu ramifie
• p-torsion étale sheaves on the Jacobian of a curve