4 papers
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…
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…
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…
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…