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math.AG2022
A comparison between compactly supported rigid and -module cohomology
Tomoyuki Abe, Christopher Lazda
The goal of this article is to prove a comparison theorem between rigid cohomology and cohomology computed using the theory of arithmetic -modules. To do this, we cons…
math.AG2016★ 7 cited
A Lefschetz theorem for overconvergent isocrystals with Frobenius structure
Tomoyuki Abe, Hélène Esnault
We show a Lefschetz theorem for irreducible overconvergent -isocrystals on smooth varieties defined over a finite field. We derive several consequences from it.