Rustam Steingart

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20232025

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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…

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

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

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