| Список публикаций: |
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| 1. |
L. Positselski, “Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence”, Memoirs of the Amer. Math. Soc., 212 (2011), 996 , vi+133 pp., arXiv: 0905.2621      (cited: 9)  (cited: 51) |
| 2. |
Л. Е. Посицельский, “Неоднородная квадратичная двойственность и кривизна”, Функц. анализ и его прил., 27:3 (1993), 57–66  (цит.: 2) ; L. E. Positsel′skii, “Nonhomogeneous quadratic duality and curvature”, Funct. Anal. Appl., 27:3 (1993), 197–204 (cited: 16) (cited: 33) |
| 3. |
A. I. Efimov, L. Positselski, “Coherent analogues of matrix factorizations and relative singularity categories”, Algebra and Number Theory, 9:5 (2015), 1159–1292 , arXiv: 1102.0261 (cited: 22)  (cited: 2) (cited: 23) |
| 4. |
A. Polishchuk, L. Positselski, “Hochschild (co)homology of the second kind I”, Transactions of the Amer. Math. Soc., 364:10 (2012), 5311–5368 , arXiv: 1010.0982 (cited: 7) (cited: 16) |
| 5. |
L. Positselski, “Koszul property and Bogomolov′s conjecture”, Internat. Math. Research Notices, 2005:31 (2005), 1901–1936 imrn.oxfordjournals.org/content/2005/31/1901, arXiv: 1405.0965 (cited: 15) |
| 6. |
L. Positselski, “Dedualizing complexes and MGM duality”, Journ. of Pure and Appl. Algebra, 220:12 (2016), 3866–3909 , arXiv: 1503.05523 (cited: 14) |
| 7. |
Leonid Positselski, “Mixed Artin–Tate motives with finite coefficients”, Mosc. Math. J., 11:2 (2011), 317–402 , arXiv: 1006.4343 (cited: 12) (cited: 5) (cited: 13) |
| 8. |
L. Positselski, J. Rosický, “Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories”, Journ. of Algebra, 483 (2017), 83–128 , arXiv: 1512.08119 (cited: 11) |
| 9. |
Leonid Positselski, “Contraadjusted modules, contramodules, and reduced cotorsion modules”, Moscow Math. Journ., 17:3 (2017), 385–455 , arXiv: 1605.03934 (cited: 4) (cited: 8) |
| 10. |
Л. Е. Посицельский, “Соотношение между рядами Гильберта квадратично двойственных алгебр не влечет их кошулевости”, Функц. анализ и его прил., 29:3 (1995), 83–87 (цит.: 5) ; L. E. Positsel′skii, “Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity”, Funct. Anal. Appl., 29:3 (1995), 213–217 (cited: 4) (cited: 8) |
| 11. |
L. Positselski, “Triangulated Matlis equivalence”, J. of Algebra and its Appl., 17:4 (2018), 1850067 , 44 pp., arXiv: 1605.08018 (cited: 7) |
| 12. |
L. Positselski, “Galois cohomology of certain field extensions and the divisible case of Milnor–Kato conjecture”, K-theory, 36:1–2 (2005), 33–50 , arXiv: math/0209037 (cited: 3) (cited: 4) (cited: 5) |
| 13. |
R. Bezrukavnikov, A. Braverman, L. Positselskii, “Gluing of abelian categories and differential operators on the basic affine space”, Journ. Inst. Math. Jussieu, 1:4 (2002), 543–557 , arXiv: math/0104114 (cited: 1) (cited: 5) |
| 14. |
L. Positselski, A. Slávik, “On strongly flat and weakly cotorsion modules”, Mathematische Zeitschrift, 291:3-4 (2019), 831–875 , arXiv: 1708.06833 (cited: 4) |
| 15. |
S. Bazzoni, L. Positselski, “$S$-almost perfect commutative rings”, Journ. of Algebra, 532 (2019), 323–356 , arXiv: 1801.04820 (cited: 4) |
| 16. |
L. Positselski, “Koszulity of cohomology = $K(\pi,1)$-ness + quasi-formality”, Journ. of Algebra, 483 (2017), 188–229 , arXiv: 1507.04691 (cited: 4) |
| 17. |
L. Positselski, “Galois cohomology of a number field is Koszul”, Journ. of Number Theory, 145 (2014), 126–152 , arXiv: 1008.0095 (cited: 1) (cited: 4) |
| 18. |
Л. Е. Посицельский, “Локальные формулы Плюккера для полупростой группы Ли”, Функц. анализ и его прил., 25:4 (1991), 74–76 ; L. E. Positsel′skii, “Local Plücker formulas for a semisimple Lie group”, Funct. Anal. Appl., 25:4 (1991), 291–292 (cited: 4) (cited: 4) |
| 19. |
L. Positselski, J. Šťovíček, “∞-tilting theory”, Pacific Journ. of Math., 301:1 (2019), 297–334 , arXiv: 1711.06169 (cited: 3) |
| 20. |
L. Positselski, “Dedualizing complexes of bicomodules and MGM duality over coalgebras”, Algebras and Represent. Theory, 21:4 (2018), 737–767 , arXiv: 1607.03066 (cited: 3) |
| 21. |
L. Positselski, “Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre–Grothendieck duality”, Selecta Math. New Ser., 23:2 (2017), 1279–1307 , arXiv: 1504.00700 (cited: 3) |
| 22. |
L. Positselski, “Flat ring epimorphisms of countable type”, Glasgow Math. Journ., 62:2 (2020), 383–439 , arXiv: 1808.00937 (cited: 1) |
| 23. |
J. Adámek, A. Brooke-Taylor, T. Campion, L. Positselski, J. Rosický, “Colimit-dense subcategories”, Commentationes Mathematicae Universitatis Carolinae, 60:4 (2019), 447–462 cmuc.karlin.mff.cuni.cz/cmuc1904/cmuc1904_mw.htm, arXiv: 1812.10649 (cited: 1) |
| 24. |
L. Positselski, J. Rosický, “Nearly locally presentable categories”, Theory and Appl. of Categories, 33:10 (2018), 253–264 www.tac.mta.ca/tac/volumes/33/10/33-10abs.html, arXiv: 1710.10476 (cited: 1) |
| 25. |
L. Positselski, “Artin-Tate motivic sheaves with finite coefficients over an algebraic variety”, Proceedings of the London Math. Soc., 111:6 (2015), 1402–1430 , arXiv: 1012.3735 (cited: 1) |
| 26. |
R. Bezrukavnikov, L. Positselski, “On semi-infinite cohomology of finite-dimensional graded algebras”, Compositio Math., 146:2 (2010), 480–496 , arXiv: 0803.3252 (cited: 1) (cited: 1) |
| 27. |
L. Positselski, Contramodules over pro-perfect topological rings, 2021 , 51 pp., arXiv: 1807.10671 |
| 28. |
L. Positselski, Exact categories of topological vector spaces with linear topology, 2021 , 69 pp., arXiv: 2012.15431 |
| 29. |
L. Positselski, J. Šťovíček, “The tilting-cotilting correspondence”, Internat. Math. Research Notices, 2021:1 (2021), 189–274 , arXiv: 1710.02230 |
| 30. |
L. Positselski, Relative nonhomogeneous Koszul duality, 2020 , 220 pp., arXiv: 1911.07402 |
| 31. |
S. Bazzoni, L. Positselski, Covers and direct limits: a contramodule-based approach, 2020 , 58 pp., arXiv: 1907.05537 |
| 32. |
L. Positselski, J. Šťovíček, Topologically semisimple and topologically perfect topological rings, 2020 , 66 pp., arXiv: 1909.12203 |
| 33. |
S. Bazzoni, L. Positselski, J. Šťovíček, Projective covers of flat contramodules, 2020 , 29 pp., arXiv: 1911.11720 |
| 34. |
L. Positselski, “Smooth duality and co-contra correspondence”, Journal of Lie Theory, 30:1 (2020), 85–144 www.heldermann.de/JLT/JLT30/JLT301/jlt30007.html, arXiv: 1609.04597 |
| 35. |
L. Positselski, Remarks on derived complete modules and complexes, 2020 , 34 pp., arXiv: 2002.12331 |
| 36. |
L. Positselski, O. M. Schnürer, The inclusion of small modules into big ones: Is it fully faithful on unbounded derived categories?, 2020 , 23 pp., arXiv: 2003.11261 |
| 37. |
S. Bazzoni, L. Positselski, “Matlis category equivalences for a ring epimorphism”, Journ. of Pure and Appl. Algebra, 224:10 (2020), 106398 , 25 pp., arXiv: 1907.04973 |
| 38. |
L. Positselski, A. Slávik, “Flat morphisms of finite presentation are very flat”, Annali di Matematica Pura ed Applicata, 199:3 (2020), 875–924 , arXiv: 1708.00846 |
| 39. |
L. Positselski, “Pseudo-dualizing complexes and pseudo-derived categories”, Rendiconti Seminario Matematico Univ. Padova, 143 (2020), 153–225 , arXiv: 1703.04266 |
| 40. |
L. Positselski, An explicit self-dual construction of complete cotorsion pairs in the relative context, 2020 , 53 pp., arXiv: 2006.01778 |
| 41. |
M. Lieberman, L. Positselski, J. Rosický, S. Vasey, “Cofibrant generation of pure monomorphisms”, Journal of Algebra, 560 (2020), 1297–1310 , arXiv: 2001.02062 |
| 42. |
L. Positselski, Flat commutative ring epimorphisms of almost Krull dimension zero, 2020 , 17 pp., arXiv: 2009.03389 |
| 43. |
L. Positselski, Contramodules, 2019 , 93 pp., arXiv: 1503.00991 |
| 44. |
L. Positselski, J. Šťovíček, “Exactness of direct limits for abelian categories with an injective cogenerator”, Journ. of Pure and Appl. Algebra, 223:8 (2019), 3330–3340 , arXiv: 1805.05156 |
| 45. |
M. Hrbek, L. Positselski, A. Slávik, Countably generated flat modules are quite flat, 2019 , 17 pp., arXiv: 1907.00356 |
| 46. |
L. Positselski, Pseudo-dualizing complexes of bicomodules and pairs of t-structures, 2019 , 41 pp., arXiv: 1907.03364 |
| 47. |
L. Positselski, Abelian right perpendicular subcategories in module categories, 2018 , 57 pp., arXiv: 1705.04960 |
| 48. |
L. Positselski, “Categorical Bockstein sequences”, Appl. Categor. Struct., 26:6 (2018), 1211–1263 , arXiv: 1404.5011 |
| 49. |
L. Positselski, “Weakly curved A-infinity algebras over a topological local ring”, Mémoires de la Société Mathématique de France, 159 (2018) , vi+206 pp. smf.emath.fr/publications/weakly-curved-ainfty-algebras-over-topological-local-ring, arXiv: 1202.2697 |
| 50. |
L. Positselski, Contraherent cosheaves, 2017 , 257 pp., arXiv: 1209.2995 |
| 51. |
L. Positselski, Noncommutative Kummer theory, 2016 , 7 pp., arXiv: 1606.03880 |
| 52. |
Л. Е. Посицельский, “Алгебра замкнутых форм на диске кошулева”, Функц. анализ и его прил., 46:3 (2012), 71–80 ; L. E. Positsel'skii, “The algebra of closed forms on the disk is a Koszul algebra”, Funct. Anal. Appl., 46:3 (2012), 218–224 , arXiv: 1007.5010 |
| 53. |
L. Positselski, Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures, Appendix C in collaboration with D. Rumynin; Appendix D in collaboration with S. Arkhipov, Monografie Matematyczne IMPAN, 70, Birkhauser/Springer, Basel, 2010 , xxiv+349 pp. www.springer.com/birkhauser/mathematics/book/978-3-0346-0435-2 |
| 54. |
A. Polishchuk, L. Positselski, Quadratic Algebras, University Lecture Series, 37, American Math. Society, Providence, RI, 2005 , xii+159 pp. www.ams.org/bookstore-getitem/item=ULECT-37 |
| 55. |
L. Positselski, “Mixed Tate motives with finite coefficients and conjectures about Galois groups of fields”, Algebraische K-theorie, Tagungsbericht 39/1999 (Oberwolfach, September 26–October 2, 1999), eds. M. Schlichting, K-theory Preprint Archives 0375, 1999, 8–9 www.math.uiuc.edu/K-theory/0375/ |
| 56. |
L. Positselski, A. Vishik, “Koszul duality and Galois cohomology”, Math. Research Letters, 2:6 (1995), 771–781 , arXiv: alg-geom/9507010 |
| 57. |
L. Positselski, All strictly exceptional collections in $D^b_{coh}(P^m)$ consist of vector bundles, 1995 , 6 pp., arXiv: alg-geom/9507014 |
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