activity
20002021
most citedInvitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.KT2021

Killing weights from the perspective of t-structures

Mikhail V. Bondarko, Sergei V. Vostokov

This paper is devoted to morphisms killing weights in a range (as defined by the first author) and to objects without these weights (as essentially defined by J. Wildeshaus) in a t…

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…

math.NT2000★ 2 cited

Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol

Sergei V. Vostokov

This is a review of the vast area of explicit formulas for the (wild) Hilbert symbol (not only in the one-dimensional case but in the higher dimensional case as well). An extensive…