3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.NT2024
On the Serre conjecture for Artin characters in the geometric case
Tomoyuki Abe
Let be a finite group and be a regular local ring on which acts. Under certain assumptions on and the action, Serre defined a function $a_G\colon G\rightarrow\mathb…
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…