activity
20042025
most citedWeight structures vs. -structures; weight filtrations, spectral sequences, and complexes (for motives and in general)

148 citations · 390 across the 41 of their papers we have counts for

collaborators

48 papers

math.AG2025

Bases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree

Mikhail V. Bondarko, Kirill S. Ladny, Konstantin I. Pimenov

For a wildly ramified extension of complete discrete valuation fields we study collections of elements of (where ) that fit well for constructing bases of…

math.AG2025

Some general étale Weak Lefschetz-type theorems

Sergei I. Arkhipov, Mikhail V. Bondarko

We establish new general etale versions of theorems of Barth and Sommese. Respectively, we compute the lower etale cohomology of closed subvarieties of of small codimensions…

math.CT2024

Completing hearts of triangulated categories via weight-exact localizations

Mikhail V. Bondarko, Stepan V. Shamov

We study a weight-exact localization pi of a well generated triangulated category C along with the embedding of the hearts of adjacent t-structures coming from the functor right ad…

math.KT2024★ 2 cited

On t-structures adjacent and orthogonal to weight structures

Mikhail V. Bondarko

We study -structures (on triangulated categories) that are closely related to weight structures. A -structure couple is said to be adjacent to a w…

math.AG2022

Producing "new" semi-orthogonal decompositions in arithmetic geometry

Mikhail V. Bondarko

This paper is devoted to constructing "new" admissible subcategories and semi-orthogonal decompositions of triangulated categories out of "old" ones. For two triangulated subcatego…

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…