Rustam Steingart

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20232025

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math.NT2024

On the higher analytic vectors of $B_{e}$

Rustam Steingart

We prove that the first derived analytic vectors of the subring of Fontaine's period ring $B_{e}$ stable under the kernel of the cyclotomic character are non-zero. Subsequen…

math.NT2024

$ε$ -isomorphisms for rank one $(φ, Γ)$ -modules over Lubin-Tate Robba rings

Milan Malcic, Rustam Steingart, Otmar Venjakob +1

Inspired by Nakamura's work (arXiv:1305.0880) on $ε$ -isomorphisms for $(φ, Γ)$ -modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogous c…

On the higher analytic vectors of Be​

ε-isomorphisms for rank one (φ,Γ)-modules over Lubin-Tate Robba rings

On the higher analytic vectors of $B_{e}$

$ε$ -isomorphisms for rank one $(φ, Γ)$ -modules over Lubin-Tate Robba rings