3 papers
math.CT2020
The hearts of weight structures are the weakly idempotent complete categories
Mikhail V. Bondarko, Sergei V. Vostokov
In this note we prove that additive categories that occur as hearts of weight structures are precisely the weakly idempotent completecategories, that is, the categories where all s…
math.KT2019
On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories
Mikhail V. Bondarko, Sergei V. Vostokov
We prove that certain triangulated categories are (weakly) approximable in the sense of A. Neeman. We prove that a triangulated that is compactly generated by a single object $…
math.NT2018
Honda formal group as Galois module in unramified extensions of local fields
Tigran Hakobyan, Sergei Vostokov
For given rational prime number consider the tower of finite extensions of fields , where is unramified and is a Galois exten…