Tomoyuki Abe

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20112024

most citedTheory of weights in p-adic cohomology

18 citations · 62 across the 17 of their papers we have counts for

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math.NT2024

On the Serre conjecture for Artin characters in the geometric case

Tomoyuki Abe

Let $G$ be a finite group and $A$ be a regular local ring on which $G$ acts. Under certain assumptions on $A$ and the action, Serre defined a function $a_G\colon G\rightarrow\mathb…

math.NT2021

Integral $p$ -adic cohomology theories

Tomoyuki Abe, Richard Crew

In this paper, we show the non-existence of finitely generated integral $p$ -adic cohomology which satisfies finite étale descent and the associated rational cohomology coincides wi…

On the Serre conjecture for Artin characters in the geometric case

Integral p-adic cohomology theories

Integral $p$ -adic cohomology theories