Rustam Steingart

collaborators

5 papers

math.NT2025

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

Rustam Steingart

Let $K / E / Q_{p}$ be a tower of finite extensions with $E$ Galois. We relate the category of $G_{K}$ -equivariant vector bundles on the Fargues--Fontaine curve with coefficients…

math.NT2025

Partial Bloch--Kato Selmer groups of $B$ -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 $B$ -pairs we extend them to hi…

math.NT2025

$I^µ$ -isomorphisms for rank one $(I ¨ , I^)$ -modules over Lubin-Tate Robba rings

Milan Malcic, Rustam Steingart, Otmar Venjakob +1

Inspired by Nakamura's work (arXiv:1305.0880) on $I^µ$ -isomorphisms for $(I ¨ , I^)$ -modules over (relative) Robba rings with respect to the cyclotomic theory, we formulate an analogou…

math.NT2025

Comparisons of Lie algebra cohomologies of $(I ¨ , I^)$ -modules

Rustam Steingart

We generalise a result of Fourquaux and Xie thereby completely determining the relationship between $Q_{p}$ and $L$ -analytic Lie algebra cohomology of analytic $(I ¨ _{L}, I^_{L})$ …

math.NT2025

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…

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

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

I^µ-isomorphisms for rank one (I¨,I^)-modules over Lubin-Tate Robba rings

Comparisons of Lie algebra cohomologies of (I¨,I^)-modules

On the higher analytic vectors of Be​

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

$I^µ$ -isomorphisms for rank one $(I ¨ , I^)$ -modules over Lubin-Tate Robba rings

Comparisons of Lie algebra cohomologies of $(I ¨ , I^)$ -modules

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