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