3 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Mod-p Poincaré Duality in p-adic Analytic Geometry
Bogdan Zavyalov
We show Poincaré Duality for -étale cohomology of a smooth proper rigid-analytic space over a non-archimedean field of mixed characteristic . It positivel…
Almost coherent modules and almost coherent sheaves
Bogdan Zavyalov
We review the theory of almost coherent modules that was introduced in "Almost Ring Theory" by Gabber and Ramero. Then we globalize it by developing a new theory of almost coherent…
Altered Local Uniformization Of Rigid-Analytic Spaces
Bogdan Zavyalov
We prove a version of Temkin's local altered uniformization theorem. We show that for any rig-smooth, quasi-compact and quasi-separated admissible formal -model $\ma…
Sheafiness of Strongy Rigid-Noetherian Huber Pairs
Bogdan Zavyalov
We show that any strongly rigid-noetherian Huber ring is sheafy. In particular, we positively answer Problem~ in the Nonarchimedean Scottish Book.
Quotients Of Admissible Formal Schemes and Adic Spaces by Finite Groups
Bogdan Zavyalov
In this paper we give a self-contained treatment of finite group quotients of admissible (formal) schemes and adic spaces that are locally topologically finite type over a locally…