Shun Ohkubo

activity

20092024

most citedThe p-adic monodromy theorem in the imperfect residue field case

7 citations · 18 across the 11 of their papers we have counts for

collaborators

11 papers

math.NT2024

New cases of Dwork's conjecture on asymptotic behaviors of solutions of $p$ -adic differential equations without solvability

Shun Ohkubo

One of the phenomena peculiar in the theory of $p$ -adic differential equations is that solutions $f$ of $p$ -adic differential equations defined on open discs may satisfy growth con…

math.NT2024

Duality for differential modules over complete non-archimedean valuation field of characteristic zero

Shun Ohkubo

Let $K$ be a complete non-archimedean valuation field of characteristic $0$ , with non-trivial valuation, equipped with (possibly multiple) commuting bounded derivations. We prove a…

math.NT2018★ 1 cited

Logarithmic growth filtrations for $(φ, \nabla)$ -modules over the bounded Robba ring

Shun Ohkubo

In this paper, we study the logarithmic growth (log-growth) filtration, a mysterious invariant found by B. Dwork, for $(φ, \nabla)$ -modules over the bounded Robba ring. The main res…

math.NT2018★ 1 cited

A note on logarithmic growth of solutions of $p$ -adic differential equations without solvability

Shun Ohkubo

For a $p$ -adic differential equation solvable in an open disc (in a $p$ -adic sense), around 1970, Dwork proves that the solutions satisfy a certain growth condition on the boundary…

math.NT2015★ 5 cited

On the rationality and continuity of logarithmic growth filtration of solutions of $p$ -adic differential equations

Shun Ohkubo

We study the asymptotic behavior of solutions of Frobenius equations defined over the ring of overconvergent series. As an application, we prove Chiarellotto-Tsuzuki's conjecture o…

math.NT2013

A note on logarithmic growth Newton polygons of $p$ -adic differential equations

Shun Ohkubo

In this paper, we answer a question due to Y. André related to B. Dwork's conjecture on a specialization of the logarithmic growth of solutions of $p$ -adic linear differential equa…

math.NT2013

On Lie algebras arising from $p$ -adic representations in the imperfect residue field case

Shun Ohkubo

Let $K$ be a complete discrete valuation field of mixed characteristic $(0, p)$ with residue field $k_{K}$ such that $[k_{K} : k_{K}^{p}] = p^{d} < \infty$ . Let $G_{K}$ be the absolute Galois group o…

math.NT2013★ 1 cited

On differential modules associated to de Rham representations in the imperfect residue field case

Shun Ohkubo

Let $K$ be a complete discrete valuation field of mixed characteristic $(0, p)$ , whose residue field may not be perfect, and $G_{K}$ the absolute Galois group of $K$ . In the first par…

math.NT2012★ 7 cited

The p-adic monodromy theorem in the imperfect residue field case

Shun Ohkubo

Let K be a complete discrete valuation field of mixed characteristic (0,p) and G_K the absolute Galois group of K. In this paper, we will prove the p-adic monodromy theorem for p-a…

math.NT2009

A note on Sen's theory in the imperfect residue field case

Shun Ohkubo

In Sen's theory in the imperfect residue field case, Brinon defined a functor from the category of C_p-representations to the category of linear representations of certain Lie alge…

math.NT2009★ 3 cited

Galois theory of B_dR^+ in the imperfect residue field case

Shun Ohkubo

We generalize a work of Iovita-Zaharescu on the Galois theory of B_dR^+ to the imperfect residue field case. The proof is based on a structure theorem of Colmez's higher Kahler dif…

New cases of Dwork's conjecture on asymptotic behaviors of solutions of p-adic differential equations without solvability

Duality for differential modules over complete non-archimedean valuation field of characteristic zero

Logarithmic growth filtrations for (φ,∇)-modules over the bounded Robba ring

A note on logarithmic growth of solutions of p-adic differential equations without solvability

On the rationality and continuity of logarithmic growth filtration of solutions of p-adic differential equations

A note on logarithmic growth Newton polygons of p-adic differential equations

On Lie algebras arising from p-adic representations in the imperfect residue field case

On differential modules associated to de Rham representations in the imperfect residue field case

The p-adic monodromy theorem in the imperfect residue field case

A note on Sen's theory in the imperfect residue field case

Galois theory of B_dR^+ in the imperfect residue field case

New cases of Dwork's conjecture on asymptotic behaviors of solutions of $p$ -adic differential equations without solvability

Logarithmic growth filtrations for $(φ, \nabla)$ -modules over the bounded Robba ring

A note on logarithmic growth of solutions of $p$ -adic differential equations without solvability

On the rationality and continuity of logarithmic growth filtration of solutions of $p$ -adic differential equations

A note on logarithmic growth Newton polygons of $p$ -adic differential equations

On Lie algebras arising from $p$ -adic representations in the imperfect residue field case