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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.AG2022
Ramification theory from homotopical point of view, II
Tomoyuki Abe
This is the second part of the paper which proves the compatibility of pushforward along a proper morphism of an étale constructible sheaf and the pushforward of its characteristic…
math.AG2022★ 1 cited
Ramification theory from homotopical point of view, I
Tomoyuki Abe
We prove the compatibility of pushforward along a proper morphism of an étale constructible sheaf and the pushforward of its characteristic cycle up to -torsion. This was conjec…