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Publication list of Mikhail V. Bondarko

1. Bondarko M.V., Vostokov S.V, Zhukov I.B., Additive Galois modules in complete discrete valuation elds// Algebra and Analysis, 1997, issue 4, 2846. 2. Bekker B.M., Bondarko M.V., Vostokov S.V, Shafarevich bases in topological K-groups// Algebra and Analysis 1998, issue 2, 6380. 3. Bondarko M.V., Vostokov S.V, Decomposition of ideals in abelian pextensions of complete discrete valuation elds// Zap. Nauchn. Sem. Pomi 1998, issue 236, 2331. 4. Bondarko M.V., Vostokov S.V, Decomposability of ideals as Galois modules in complete discrete valuation elds// Algebra and Analysis, 1999, issue 2, 4164. 5. Bondarko M.V., Vostokov S.V, Isomorphism of ideals regarded as Galois modules of complete discrete valuation elds with residue eld of positive characteristics // Trudy St. Peterburgskogo Matematicheskogo Obsh'estva, vol. 6, 2000, 4251, translation in Amer. Math. Soc. Transl. (2) vol. 199, 2000, 117125. 6. Bondarko M.V., Lai K. F., Vostokov S.V, Galois structure for abelian pextensions of Dedekind domains// Journal fur die reine und andgewante mathematik, 1999, 517, 5159. 7. Bondarko M.V., Vostokov S.V, Additive Galois modules of Dedekind rings. Decomposability// Algebra and Analysis 1999, issue 6, 103121. 8. Bondarko M.V., Idempotents in the endomorphism ring of an ideal of a pextension of complete discrete valuation elds with residue eld of characteristic p as a Galois module// Zap. Nauchn. Sem. Pomi, 1999, volume 265, 2228. 9. Bondarko M.V., Krull-Schmidt theorem for Henselian rings// Zap. Nauchn. Sem. Pomi, 1999, volume 265, 2941. 10. Bondarko M.V., Local Leopoldt's problem for rings of integers in abelian p-extensions of complete discrete valuation elds// Documenta Math., volume 5, 657693, 2000. 11. Bondarko M.V., Local Leopoldt's problem for ideals in p-extensions of complete discrete valuation elds, in: Algebraic Number Theory and Algebraic Geometry: Papers Dedicated to A. N. Parshin on the Occasion of his Sixtieth Birthday, 2757, Contemporary Mathematics, Providence, 2002. 12. Bondarko M.V., Links between associated additive Galois modules and computation of H 1 for local formal group modules// The Journal of Number Theory, 101, 74104, 2003. 13. Bondarko M.V., Vostokov S.V., Explicit classication of formal groups over local elds// Trudy MIAN, 241, no. 2, 4367, 2003, translation in: Proceedings of the Steklov Institute of Mathematics, 2003, 241, 3557. 14. Bondarko M.V., Cohomology of formal group moduli and deeply ramied extensions// Math. Proc. of the Cambridge Philosophical Society, 135, 1924, 2003. 15. Bondarko M.V., Ideals in an extension of a number eld as modules over the ring of integers in a ground eld// Bonner Mathematische Schriften, 360, 2003. 16. Bondarko M.V., Lorenz F., Vostokov S.V., Hilbert pairing for formal groups over rings// Zap. Nauchn. Sem. Pomi, vol. 319, 558, 2004, translation in: Journal of Mathematical Sciences, vol. 134:6, 24452476, 2006. 1

Papers published


17. Bondarko M.V., Minchev H, Vostokov S.V., Scalar restriction for formal groups// Zap. Nauchn. Sem. Pomi, vol. 319, 5971, 2004, translation in: Journal of Mathematical Sciences, vol. 134:6, 24772482, 2006. 18. Bondarko M.V., Explicit classication of formal groups over complete discrete valuation elds with imperfect residue eld// Trudy St. Peterburgskogo Matematicheskogo Obsh'estva, vol. 11, 2005, 136, translation in: American Mathematical Society Translations, vol. 218, 130, 2006. 19. Bondarko M.V., Isogeny classes of formal groups over discrete valuation elds with arbitrary residue eld// Algebra and Analysis, vol. 17, issue 6, 2005, 105124, translation in: St. Petersburg Math. J. 17 (2006), 975988. 20. Bondarko M.V., The generic bre of nite group schemes; 'nite wild' criterion of good reduction of Abelian varieties// Mat. Izv. Akad. Nauk, vol. 70:4, 2006, 2152, translation in: Izvestiya: Mathematics, 2006, 70:4, 661691. 21. Bondarko M.V., Classication of of nite group schemes over the rings of integers of complete discrete valuation elds; the tangent space and semistable reduction of Abelian varieties// Algebra and Analysis, vol. 18 (5), 2006, 7298, translation in: St. Petersburg Math. J. 18 (2007), 737755. 22. Bondarko M.V., Leopoldt's problem for totally ramied extensions of complete discrete valuation elds// Algebra and Analysis, vol. 18 (5), 2006, 99129, translation in: St. Petersburg Math. J. 18 (2007), 757778. 23. Bondarko M.V., Formal groups over local elds: a constructive approach, in: London Mathematical Society Lecture Note Series #338: Surveys in Geometry and Number Theory, 2457, 2007. 24. Bondarko M.V., Canonical representatives in strict isomorphism classes of formal groups// Mat. Zametki, 82:2 (2007), 183189, translation in: Mathematical Notes, vol. 82 (12), 159164, 2007. 25. Bondarko M.V., Dievsky A. V., Non-abelian associated orders of wildly ramied local eld extensions// Zapiski Nauchnykh Seminarov POMI, vol. 356, 2008, 545; translation in: Journal of Mathematical Sciences, v. 156, n. 6, 2009, 855876. 26. Bondarko M.V., Dierential graded motives: weight complex, weight ltrations and spectral sequences for realizations; Voevodsky vs. Hanamura// J. of the Inst. of Math. of Jussieu, v.8 (2009), no. 1, 3997, see also http://arxiv.org/abs/math.AG/0601713 27. Bondarko M.V., Motivically functorial coniveau spectral sequences; direct summands of cohomology of function elds// Doc. Math., extra volume: Andrei Suslin's Sixtieth Birthday (2010), 33117; see also http://arxiv.org/ abs/0812.2672 28. Bondarko M., Weight structures vs. t-structures; weight ltrations, spectral sequences, and complexes (for motives and in general)// J. of K-theory, v. 6, i. 03, 387504, 2010, see also http://arxiv.org/abs/0704.4003 1 29. Bondarko M.V., Z[ p ]-motivic resolution of singularities// Compositio Math., vol. 147, iss. 5, 2011, 14341446. 30. Bondarko M.V., Weight structures and 'weights' on the hearts of tstructures// Homology, Homotopy and Applications, vol. 14, 2012, No. 1, 239261. 31. Bondarko M.V., Weights for Voevodsky's motives over a base; relation with mixed complexes of sheaves, Int. Math. Res. Notes vol. 2014, i. 17, 47154767.

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32. Bondarko M.V., Mixed motivic sheaves (and weights for them) exist if 'ordinary' mixed motives do, to appear in Compositio Math., http://arxiv. org/abs/1105.0420 33. Bondarko M.V., A 'fat hyperplane section' weak Lefschetz (in arbitrary characteristic), and Barth-type theorems, preprint, http://arxiv.org/abs/ 1203.2595 34. Bondarko M.V., Sosnilo V.A., Non-commutative localizations of additive categories and weight structures; applications to birational motives, preprint, http://arxiv.org/abs/1304.6059 35. Bondarko M.V., Gersten weight structures for motivic homotopy categories; direct summands of cohomology of function elds and coniveau spectral sequences, preprint, http://arxiv.org/abs/1312.7493 36. Bondarko M.V., On perverse homotopy t-structures, coniveau spectral sequences, cycle modules, and relative Gersten weight structures, preprint, http://arxiv.org/abs/1409.0525

Preprints

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