activity
20222026
most citedFiniteness of analytic cohomology of Lubin-Tate -modules

2 citations · 3 across the 6 of their papers we have counts for

collaborators

7 papers

cond-mat.str-el2026

Large-Tiny Spin-Stripe SDW Order in LaNiO via La-NQR Spectroscopy: Reconsideration Based on the Structure

Mitsuharu Yashima, Hongnam Lee, Takumi Ino +5

The lower-symmetry structure was recently proposed as the intrinsic ambient-pressure phase of LaNiO based on synchrotron x-ray diffraction, whereas earlier studi…

math.NT2025

On equivariant vector bundles on the Fargues--Fontaine curve over a finite extension

Rustam Steingart

Let be a tower of finite extensions with Galois. We relate the category of -equivariant vector bundles on the Fargues--Fontaine curve with coefficients…

math.NT2025

Partial Bloch--Kato Selmer groups of -pairs as delta functors

Rustam Steingart

In this article we revisit the partial Selmer groups introduced by Ding in cohomological degree one. On the subcategory of partially de Rham positive -pairs we extend them to hi…

math.NT2024

On the higher analytic vectors of

Rustam Steingart

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

math.NT2024★ 1 cited

-isomorphisms for rank one -modules over Lubin-Tate Robba rings

Milan Malcic, Rustam Steingart, Otmar Venjakob +1

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

math.NT2023

Comparisons of Lie algebra cohomologies of -modules

Rustam Steingart

We generalise a result of Fourquaux and Xie thereby completely determining the relationship between and -analytic Lie algebra cohomology of analytic -m…

math.NT2022★ 2 cited

Finiteness of analytic cohomology of Lubin-Tate -modules

Rustam Steingart

We prove finiteness and base change properties for analytic cohomology of families of -analytic -modules parametrised by affinoid algebras in the sense of Tate. For t…