M. Bondarko

activity

20042025

t

-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

Showing 2016 · math.AGShow all

3 papers · 2 filters

math.AG2016★ 10 cited

On relative $K$ -motives, weights for them, and negative $K$ -groups

Mikhail V. Bondarko, Alexander Yu. Luzgarev

We study certain triangulated categories of $K$ -motives $D K (-)$ over a wide class of base schemes, and define certain "weights" for them. We relate the weights of particular $K$ -mo…

math.AG2016

On infinite effectivity of motivic spectra and the vanishing of their motives

Mikhail V. Bondarko

This paper is dedicated to the study of the kernel of the "compact motivization" functor $M_{k}^{c} : S H^{c} (k) \to D M^{c} (k)$ (i.e., we try to describe those compact objects of $S H (k)$ who…

math.AG2016★ 2 cited

Picard groups, weight structures, and (noncommutative) mixed motives

Mikhail Bondarko, Goncalo Tabuada

We develop a general theory which enables the computation of the Picard group of a symmetric monoidal triangulated category, equipped with a weight structure, in terms of the Picar…

On relative K-motives, weights for them, and negative K-groups

On infinite effectivity of motivic spectra and the vanishing of their motives

Picard groups, weight structures, and (noncommutative) mixed motives

On relative $K$ -motives, weights for them, and negative $K$ -groups