# zbMATH — the first resource for mathematics

## Bondarko, Mikhail Vladimirovich

Compute Distance To:
 Author ID: bondarko.mikhail-vladimirovich Published as: Bondarko, M.; Bondarko, M. V.; Bondarko, Mikhail; Bondarko, Mikhail V.; Bondarko, Mikhail Vladimirovich Homepage: https://math-cs.spbu.ru/en/people/bondarko-m-v/ External Links: MGP · Math-Net.Ru
 Documents Indexed: 52 Publications since 1997
all top 5

#### Co-Authors

 25 single-authored 15 Vostokov, Sergeĭ Vladimirovich 5 Sosnilo, Vladimir Aleksandrovich 4 Zhukov, Igor’ Borisovich 2 Generalov, Aleksandr Ivanovich 2 Gordeev, Nikolai L. 2 Kumallagov, D. Z. 2 Leonov, Gennadiĭ Alekseevich 2 Panin, Ivan A. 2 Vavilov, Nikolaĭ Aleksandrovich 2 Volkov, Vladislav Vladimirovich 2 Vsemirnov, M. A. 1 Afanas’eva, S. S. 1 Bekker, Boris Mikhaĭlovich 1 Benois, D. G. 1 Déglise, Frédéric 1 Demchenko, O. V. 1 Dievskiĭ, A. V. 1 Dybkova, E. V. 1 Fesenko, Ivan Borisovich 1 Ikonnikova, Elena Valer’evna 1 Ivanov, Michael A. 1 Lai, King Fai 1 Lorenz, Falko 1 Lur’e, B. B. 1 Lurie, B. B. 1 Matiyasevich, Yuriĭ Vladimirovich 1 Merkur’ev, Aleksandr Sergeevich 1 Minchev, Kh. P. 1 Nekrasov, Ilia I. 1 Pital’, Petr Nikolaevich 1 Semenov, Alexey A. 1 Smirnov, Aleksandr Leonidovich 1 Suslin, Andreĭ Aleksandrovich 1 Tabuada, Gonçalo 1 Yakovlev, Anatoliĭ Vladimirovich
all top 5

#### Serials

 11 St. Petersburg Mathematical Journal 4 Vestnik St. Petersburg University. Mathematics 4 Journal of Mathematical Sciences (New York) 4 Documenta Mathematica 3 Zapiski Nauchnykh Seminarov POMI 3 Homology, Homotopy and Applications 2 Compositio Mathematica 2 Journal of Algebra 2 Lobachevskii Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 IMRN. International Mathematics Research Notices 1 Izvestiya: Mathematics 1 Journal of $$K$$-Theory
all top 5

#### Fields

 31 Algebraic geometry (14-XX) 27 Number theory (11-XX) 19 Category theory; homological algebra (18-XX) 11 $$K$$-theory (19-XX) 5 Commutative algebra (13-XX) 5 Algebraic topology (55-XX) 4 Field theory and polynomials (12-XX) 4 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX)

#### Citations contained in zbMATH Open

41 Publications have been cited 251 times in 128 Documents Cited by Year
Weight structures vs. $$t$$-structures; weight filtrations, spectral sequences, and complexes (for motives and in general). Zbl 1303.18019
Bondarko, M. V.
2010
Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura. Zbl 1161.14014
Bondarko, M. V.
2009
$$\mathbb Z[1/p]$$-motivic resolution of singularities. Zbl 1230.14013
Bondarko, M. V.
2011
Weights for relative motives: relation with mixed complexes of sheaves. Zbl 1400.14062
Bondarko, Mikhail V.
2014
Local Leopoldt’s problem for rings of integers in Abelian $$p$$-extensions of complete discrete valuation fields. Zbl 0964.11053
Bondarko, M. V.
2000
On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields. Zbl 1210.14023
Bondarko, Mikhail V.
2010
An explicit classification of formal groups over local fields. Zbl 1125.11357
Bondarko, M. V.; Vostokov, S. V.
2003
Dimensional homotopy t-structures in motivic homotopy theory. Zbl 1403.14053
Bondarko, Mikhail; Déglise, Frédéric
2017
On Chow weight structures for $$cdh$$-motives with integral coefficients. Zbl 1352.14003
Bondarko, M. V.; Ivanov, M. A.
2016
Explicit classification of formal groups over complete discrete valuation fields with imperfect residue field. Zbl 1143.14308
Bondarko, M. V.
2006
On purely generated $$\alpha$$-smashing weight structures and weight-exact localizations. Zbl 1451.18029
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2019
Non-commutative localizations of additive categories and weight structures. Zbl 1434.18006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
Local Leopoldt’s problem for ideals in totally ramified $$p$$-extensions of complete discrete valuation fields. Zbl 1026.11088
Bondarko, M. V.
2002
Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050
Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B.
1997
On Chow weight structures without projectivity and resolution of singularities. Zbl 1423.14030
Bondarko, M. V.; Kumallagov, D. Z.
2019
Weight structures and ‘weights’ on the hearts of $$t$$-structures. Zbl 1251.18006
Bondarko, Mikhail V.
2012
On the weight lifting property for localizations of triangulated categories. Zbl 1406.18009
Bondarko, M. V.; Sosnilo, V. A.
2018
Intersecting the dimension and slice filtrations for motives. Zbl 1394.14005
Bondarko, Mikhail V.
2018
Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do. Zbl 1327.14031
Bondarko, Mikhail V.
2015
Leopoldt’s problem for abelian totally ramified extensions of complete discrete valuation fields. Zbl 1214.12005
Bondarko, M. V.
2007
The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of abelian varieties. Zbl 1136.14033
Bondarko, M. V.
2006
On torsion theories, weight and $$t$$-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
2019
Picard groups, weight structures, and (noncommutative) mixed motives. Zbl 1390.14010
Bondarko, Mikhail; Tabuada, Gonçalo
2017
An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I. Zbl 1369.11082
Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V.
2016
Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of abelian varieties. Zbl 1098.14034
Bondarko, M. V.
2005
The Hilbert pairing for formal groups over $$\sigma$$-rings. Zbl 1105.14061
Bondarko, M. V.; Vostokov, S. V.; Lorenz, F.
2004
Ideals in an extension of a number field as modules over the ring of integers in a ground field. Zbl 1060.11064
Bondarko, M.
2003
Links between associated additive Galois modules and computation of $$H^{1}$$ for local formal group modules. Zbl 1037.11079
Bondarko, M. V.
2003
Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098
Bondarko, M. V.; Vostokov, S. V.
2000
On Chow-weight homology of motivic complexes and its relation to motivic homology. Zbl 07310903
Bondarko, M. V.; Kumallagov, D. Z.
2020
A nullstellensatz for triangulated categories. Zbl 1348.18016
Bondarko, M. V.; Sosnilo, V. A.
2016
Canonical representatives in strict isomorphism classes of formal groups. Zbl 1219.14054
Bondarko, M. V.
2007
Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties. Zbl 1141.14027
Bondarko, M. V.
2007
Isogeny classes of formal groups over complete discrete valuation fields with arbitrary residue fields. Zbl 1167.14321
Bondarko, M. V.
2006
Cohomology of formal group moduli and deeply ramified extensions. Zbl 1049.11130
Bondarko, M. V.
2003
Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. Zbl 1247.11145
Bondarko, M. V.; Vostokov, S. V.
2000
Idempotents in the endomorphism ring of an ideal in a $$p$$-extension of a complete, discrete valuation field with residue field of characteristic $$p$$ as a Galois module. Zbl 1041.11080
Bondarko, M. V.
1999
Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054
Bondarko, M. V.; Vostokov, S. V.
1999
Shafarevich bases in topological $$K$$-groups. Zbl 0916.11060
Bekker, B.; Bondarko, M.; Vostokov, S.
1998
Decomposition of ideals in abelian $$p$$-extensions of complete discrete valuation fields. Zbl 0949.11059
Bondarko, M. V.; Vostokov, S. V.
1997
On Chow-weight homology of motivic complexes and its relation to motivic homology. Zbl 07310903
Bondarko, M. V.; Kumallagov, D. Z.
2020
On purely generated $$\alpha$$-smashing weight structures and weight-exact localizations. Zbl 1451.18029
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2019
On Chow weight structures without projectivity and resolution of singularities. Zbl 1423.14030
Bondarko, M. V.; Kumallagov, D. Z.
2019
On torsion theories, weight and $$t$$-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
2019
On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
Non-commutative localizations of additive categories and weight structures. Zbl 1434.18006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
On the weight lifting property for localizations of triangulated categories. Zbl 1406.18009
Bondarko, M. V.; Sosnilo, V. A.
2018
Intersecting the dimension and slice filtrations for motives. Zbl 1394.14005
Bondarko, Mikhail V.
2018
Dimensional homotopy t-structures in motivic homotopy theory. Zbl 1403.14053
Bondarko, Mikhail; Déglise, Frédéric
2017
Picard groups, weight structures, and (noncommutative) mixed motives. Zbl 1390.14010
Bondarko, Mikhail; Tabuada, Gonçalo
2017
On Chow weight structures for $$cdh$$-motives with integral coefficients. Zbl 1352.14003
Bondarko, M. V.; Ivanov, M. A.
2016
An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I. Zbl 1369.11082
Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V.
2016
A nullstellensatz for triangulated categories. Zbl 1348.18016
Bondarko, M. V.; Sosnilo, V. A.
2016
Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do. Zbl 1327.14031
Bondarko, Mikhail V.
2015
Weights for relative motives: relation with mixed complexes of sheaves. Zbl 1400.14062
Bondarko, Mikhail V.
2014
Weight structures and ‘weights’ on the hearts of $$t$$-structures. Zbl 1251.18006
Bondarko, Mikhail V.
2012
$$\mathbb Z[1/p]$$-motivic resolution of singularities. Zbl 1230.14013
Bondarko, M. V.
2011
Weight structures vs. $$t$$-structures; weight filtrations, spectral sequences, and complexes (for motives and in general). Zbl 1303.18019
Bondarko, M. V.
2010
Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields. Zbl 1210.14023
Bondarko, Mikhail V.
2010
Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura. Zbl 1161.14014
Bondarko, M. V.
2009
Leopoldt’s problem for abelian totally ramified extensions of complete discrete valuation fields. Zbl 1214.12005
Bondarko, M. V.
2007
Canonical representatives in strict isomorphism classes of formal groups. Zbl 1219.14054
Bondarko, M. V.
2007
Classification of finite commutative group schemes over complete discrete valuation rings; the tangent space and semistable reduction of Abelian varieties. Zbl 1141.14027
Bondarko, M. V.
2007
Explicit classification of formal groups over complete discrete valuation fields with imperfect residue field. Zbl 1143.14308
Bondarko, M. V.
2006
The generic fibre of finite group schemes; a “finite wild” criterion for good reduction of abelian varieties. Zbl 1136.14033
Bondarko, M. V.
2006
Isogeny classes of formal groups over complete discrete valuation fields with arbitrary residue fields. Zbl 1167.14321
Bondarko, M. V.
2006
Finite flat commutative group schemes over complete discrete valuation fields: classification, structural results; application to reduction of abelian varieties. Zbl 1098.14034
Bondarko, M. V.
2005
The Hilbert pairing for formal groups over $$\sigma$$-rings. Zbl 1105.14061
Bondarko, M. V.; Vostokov, S. V.; Lorenz, F.
2004
An explicit classification of formal groups over local fields. Zbl 1125.11357
Bondarko, M. V.; Vostokov, S. V.
2003
Ideals in an extension of a number field as modules over the ring of integers in a ground field. Zbl 1060.11064
Bondarko, M.
2003
Links between associated additive Galois modules and computation of $$H^{1}$$ for local formal group modules. Zbl 1037.11079
Bondarko, M. V.
2003
Cohomology of formal group moduli and deeply ramified extensions. Zbl 1049.11130
Bondarko, M. V.
2003
Local Leopoldt’s problem for ideals in totally ramified $$p$$-extensions of complete discrete valuation fields. Zbl 1026.11088
Bondarko, M. V.
2002
Local Leopoldt’s problem for rings of integers in Abelian $$p$$-extensions of complete discrete valuation fields. Zbl 0964.11053
Bondarko, M. V.
2000
Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098
Bondarko, M. V.; Vostokov, S. V.
2000
Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. Zbl 1247.11145
Bondarko, M. V.; Vostokov, S. V.
2000
Idempotents in the endomorphism ring of an ideal in a $$p$$-extension of a complete, discrete valuation field with residue field of characteristic $$p$$ as a Galois module. Zbl 1041.11080
Bondarko, M. V.
1999
Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054
Bondarko, M. V.; Vostokov, S. V.
1999
Shafarevich bases in topological $$K$$-groups. Zbl 0916.11060
Bekker, B.; Bondarko, M.; Vostokov, S.
1998
Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050
Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B.
1997
Decomposition of ideals in abelian $$p$$-extensions of complete discrete valuation fields. Zbl 0949.11059
Bondarko, M. V.; Vostokov, S. V.
1997
all top 5

#### Cited by 127 Authors

 14 Advances in Mathematics 10 Journal of Mathematical Sciences (New York) 9 Journal of Algebra 7 St. Petersburg Mathematical Journal 6 Documenta Mathematica 5 Compositio Mathematica 5 Journal of Number Theory 5 Manuscripta Mathematica 5 Transactions of the American Mathematical Society 4 Communications in Algebra 4 Selecta Mathematica. New Series 3 Mathematical Notes 3 Journal of Pure and Applied Algebra 3 Mathematische Zeitschrift 3 Vestnik St. Petersburg University. Mathematics 3 Journal of the Institute of Mathematics of Jussieu 3 Journal of $$K$$-Theory 2 Journal of Algebraic Combinatorics 2 Lobachevskii Journal of Mathematics 2 Annals of $$K$$-Theory 1 Communications in Mathematical Physics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 Zapiski Nauchnykh Seminarov POMI 1 Journal de Théorie des Nombres de Bordeaux 1 Algebras and Representation Theory 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Proceedings of the Steklov Institute of Mathematics 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques
 77 Algebraic geometry (14-XX) 63 Category theory; homological algebra (18-XX) 32 Number theory (11-XX) 28 Associative rings and algebras (16-XX) 24 $$K$$-theory (19-XX) 9 Commutative algebra (13-XX) 9 Algebraic topology (55-XX) 5 Combinatorics (05-XX) 5 Group theory and generalizations (20-XX) 2 Field theory and polynomials (12-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)