18 citations · 62 across the 17 of their papers we have counts for
4 papers · 1 filter
Langlands program for -adic coefficients and the petites camarades conjecture
Tomoyuki Abe
In this paper, we prove that, if Deligne's "petites camarades conjecture" holds, then a Langlands type correspondence holds also for -adic coefficients on a smooth curve over a…
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…
Rings of microdifferential operators for arithmetic -modules
Tomoyuki Abe
The aim of this paper is to develop a theory of microdifferential operators for arithmetic -modules. We first define the sheaves of microdifferential operators of arbi…
Product formula for p-adic epsilon factors
Tomoyuki Abe, Adriano Marmora
Let X be a smooth proper curve over a finite field of characteristic p. We prove a product formula for p-adic epsilon factors of arithmetic D-modules on X. In particular we deduce…