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math.NT2021
Integral -adic cohomology theories
Tomoyuki Abe, Richard Crew
In this paper, we show the non-existence of finitely generated integral -adic cohomology which satisfies finite étale descent and the associated rational cohomology coincides wi…
math.AG2021
Trace formalism for motivic cohomology
Tomoyuki Abe
The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-Déglise. We also construct an -en…