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Mikhail V. Bondarko
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33
Completing hearts of triangulated categories via weight-exact localizations
27 October 2024 by
Mikhail Bondarko
and
Stepan Shamov
Category Theory
,
K-Theory and Homology
On t-structures adjacent and orthogonal to weight structures
12 March 2024 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
Producing "new" semi-orthogonal decompositions in arithmetic geometry
25 November 2023 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
Killing weights from the perspective of t-structures
18 August 2022 by
Mikhail Bondarko
and
Sergei Vostokov
K-Theory and Homology
,
Algebraic Topology
Smooth weight structures and birationality filtrations on motivic categories
2 June 2021 by
Mikhail Bondarko
and
David Kumallagov
Algebraic Geometry
,
K-Theory and Homology
On Chow-weight homology of motivic complexes and its relation to motivic homology
16 June 2020 by
Mikhail Bondarko
and
David Kumallagov
Algebraic Geometry
,
K-Theory and Homology
The hearts of weight structures are the weakly idempotent complete categories
23 May 2020 by
Mikhail Bondarko
and
Sergei Vostokov
Category Theory
,
K-Theory and Homology
On Chow-pure cohomology and Euler characteristics for motives and varieties, and their relation to unramified cohomology and Brauer groups
23 March 2020 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
On perfectly generated weight structures and adjacent
t
-structures
2 March 2020 by
Mikhail Bondarko
K-Theory and Homology
,
Category Theory
On morphisms killing weights and Hurewicz-type theorems
20 January 2020 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Topology
On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories
22 July 2019 by
Mikhail Bondarko
and
Sergei Vostokov
K-Theory and Homology
,
Algebraic Geometry
From weight structures to (orthogonal)
t
-structures and back
8 July 2019 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
On weight complexes, pure functors, and detecting weights
8 April 2019 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
Conservativity of realizations implies that numerical motives are Kimura-finite and motivic zeta functions are rational
28 November 2018 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
On purely generated
α
-smashing weight structures and weight-exact localizations
23 April 2018 by
Mikhail Bondarko
and
Vladimir Sosnilo
K-Theory and Homology
,
Category Theory
On Chow weight structures without projectivity and resolution of singularities
25 March 2018 by
Mikhail Bondarko
and
David Kumallagov
Algebraic Geometry
,
K-Theory and Homology
Gersten weight structures for motivic homotopy categories; retracts of cohomology of function fields, motivic dimensions, and coniveau spectral sequences
4 March 2018 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
On torsion pairs, (well generated) weight structures, adjacent
t
-structures, and related (co)homological functors
5 December 2016 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
On relative
K
-motives, weights for them, and negative
K
-groups
2 December 2016 by
Mikhail Bondarko
and
Alexander Yu. Luzgarev
Algebraic Geometry
,
K-Theory and Homology
Intersecting the dimension filtration with the slice one for (relative) motivic categories
13 June 2016 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
On constructing weight structures and extending them onto idempotent extensions
13 June 2016 by
Mikhail Bondarko
and
Vladimir Sosnilo
K-Theory and Homology
On infinite effectivity of motivic spectra and the vanishing of their motives
7 March 2016 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
A Nullstellensatz for triangulated categories
29 January 2016 by
Mikhail Bondarko
and
Vladimir Sosnilo
K-Theory and Homology
On morphisms killing weights, weight complexes, and Eilenberg-Maclane (co)homology of spectra
28 December 2015 by
Mikhail Bondarko
K-Theory and Homology
,
Algebraic Geometry
Detecting the c-effectivity of motives, their weights, and dimension via Chow-weight (co)homology: a "mixed motivic decomposition of the diagonal"
14 December 2015 by
Mikhail Bondarko
and
Vladimir Sosnilo
Algebraic Geometry
,
K-Theory and Homology
On Chow weight structures for
cdh
-motives with integral coefficients
18 August 2015 by
Mikhail Bondarko
and
Mikhail Ivanov
Algebraic Geometry
,
K-Theory and Homology
On perverse homotopy
t
-structures, coniveau spectral sequences, cycle modules, and relative Gersten weight structures
6 April 2015 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
Gersten weight structures for motivic homotopy categories; direct summands of cohomology of function fields and coniveau spectral sequences
23 March 2014 by
Mikhail Bondarko
Algebraic Geometry
,
Algebraic Topology
On weights for relative motives with integral coefficients
27 December 2013 by
Mikhail Bondarko
Algebraic Geometry
,
K-Theory and Homology
Non-commutative localizations of additive categories and weight structures; applications to birational motives
29 April 2013 by
Mikhail Bondarko
and
Vladimir Sosnilo
K-Theory and Homology
,
Algebraic Geometry
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Topics
K-Theory and Homology
Algebraic Geometry
Category Theory
Algebraic Topology
Representation Theory
Complex Variables