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math.AG2018
Around the nearby cycle functor for arithmetic -modules
Tomoyuki Abe
We will establish a nearby and vanishing cycle formalism for the arithmetic -module theory following Beilinson's philosophy. As an application, we define smooth object…
math.AG2011★ 3 cited
Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic -modules
Tomoyuki Abe
The aim of this paper is to compute the Frobenius structures of some cohomological operators of arithmetic $\ms{D}$-modules. To do this, we calculate explicitly an isomorphism betw…