| Full list of scientific publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2024 |
| 1. |
L. Positselski, Flat comodules and contramodules as directed colimits, and cotorsion periodicity, 2024 , 44 pp., arXiv: 2306.02734   |
| 2. |
L. Positselski, Contraherent cosheaves on schemes, 2024 , 450 pp., arXiv: 1209.2995 |
| 3. |
L. Positselski, Resolutions as directed colimits, 2024 , 37 pp., arXiv: 2312.07197 |
| 4. |
L. Positselski, Philosophy of contraherent cosheaves, 2024 , 65 pp., arXiv: 2311.14179 |
| 5. |
L. Positselski, Generalized periodicity theorems, 2024 , 38 pp., arXiv: 2301.00708 |
| 6. |
S. Bazzoni, M. Hrbek, L. Positselski, “Fp-projective periodicity”, Journ. of Pure and Appl. Algebra, 228:3 (2024), 107497 , 24 pp., arXiv: 2212.02300    
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4
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| 7. |
L. Positselski, The categories of corings and coalgebras over a ring are locally countably presentable, 2024 , 24 pp., arXiv: 2401.02928 |
| 8. |
L. Positselski, J. Šťovíček, Contraderived categories of CDG-modules, 2024 , 66 pp., arXiv: 2401.07021 |
| 9. |
L. Positselski, “Local, colocal, and antilocal properties of modules and complexes over commutative rings”, Journal of Algebra, 646 (2024), 100–155 , arXiv: 2212.10163 |
| 10. |
L. Positselski, J. Šťovíček, “Topologically semiperfect topological rings”, Algebras and Represent. Theory, 27:1 (2024), 245–278 , arXiv: 2201.03488 |
| 11. |
L. Positselski, “A bounded below, noncontractible, acyclic complex of projective modules”, Acta Mathematica Hungarica, 172:2 (2024), 324–345 , arXiv: 2305.11119 |
| 12. |
L. Positselski, “Exact categories of topological vector spaces with linear topology”, Moscow Math. Journ., 24:2 (2024), 219–286 , arXiv: 2012.15431 |
| 13. |
L. Positselski, Roos axiom holds for quasi-coherent sheaves, 2024 , 13 pp., arXiv: 2407.13651 |
| 14. |
L. Positselski, “Locally coherent exact categories”, Appl. Categorical Struct., 32:4 (2024), 20 , 30 pp., arXiv: 2311.02418 |
| 15. |
L. Positselski, J. Šťovíček, “Coderived and contraderived categories of locally presentable abelian DG-categories”, Mathematische Zeitschrift, 308:1 (2024), 14 , 70 pp., arXiv: 2210.08237 |
| 16. |
L. Positselski, A contramodule generalization of Neeman's flat and projective module theorem, 2024 , 20 pp., arXiv: 2408.10928 |
| 17. |
L. Positselski, “Notes on limits of accessible categories”, Cahiers de topologie et géométrie différentielle catégoriques, LXV:4 (2024), 390–437 cahierstgdc.com/index.php/volume-lxv-2024/#4, arXiv: 2310.16773 |
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| 2023 |
| 18. |
L. Positselski, J. Šťovíček, Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity, 2023 , 28 pp., arXiv: 2212.09639 |
| 19. |
L. Positselski, Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors, 2023 , 43 pp., arXiv: 2301.09561 |
| 20. |
L. Positselski, “Remarks on derived complete modules and complexes”, Mathematische Nachrichten, 296:2 (2023), 811–839 , arXiv: 2002.12331
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2
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| 21. |
L. Positselski, “Flat commutative ring epimorphisms of almost Krull dimension zero”, J. of Algebra and its Appl., 22:3 (2023), 2350060 , 18 pp., arXiv: 2009.03389
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1
[x]
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| 22. |
L. Positselski, “An explicit self-dual construction of complete cotorsion pairs in the relative context”, Rendiconti Seminario Matematico Univ. Padova, 149 (2023), 191–253 , arXiv: 2006.01778
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2
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| 23. |
L. Positselski, Comodules and contramodules over coalgebras associated with locally finite categories, 2023 , 35 pp., arXiv: 2307.13358 |
| 24. |
L. Positselski, “Differential graded Koszul duality: An introductory survey”, Bulletin of the London Math. Society, 55:4 (2023), 1551–1640 , arXiv: 2207.07063
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6
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| 25. |
L. Positselski, Tensor-Hom formalism for modules over nonunital rings, 2023 , 41 pp., arXiv: 2308.16090 |
| 26. |
L. Positselski, Semi-infinite algebraic geometry of quasi-coherent sheaves on ind-schemes: Quasi-coherent torsion sheaves, the semiderived category, and the semitensor product, Birkhäuser/Springer Nature, Cham, Switzerland, 2023 , xix+216 pp. |
| 27. |
L. Positselski, Semialgebras associated with nonunital algebras and $k$-linear subcategories, 2023 , 60 pp., arXiv: 2310.05550 |
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| 2022 |
| 28. |
L. Positselski, Exact DG-categories and fully faithful triangulated inclusion functors, 2022 , 151 pp., arXiv: 2110.08237 |
| 29. |
L. Positselski, J. Šťovíček, “Derived, coderived, and contraderived categories of locally presentable abelian categories”, Journ. of Pure and Appl. Algebra, 226:4 (2022), 106883 , 39 pp., arXiv: 2101.10797
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6
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| 30. |
L. Positselski, “Contramodules over pro-perfect topological rings”, Forum Mathematicum, 34:1 (2022), 1–39 , arXiv: 1807.10671
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8
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| 31. |
L. Positselski, “Pseudo-dualizing complexes of bicomodules and pairs of t-structures”, Appl. Categor. Struct., 30:2 (2022), 379–416 , arXiv: 1907.03364 |
| 32. |
L. Positselski, P. Příhoda, J. Trlifaj, “Closure properties of $\varinjlim\mathcal C$”, Journ. of Algebra, 606 (2022), 30–103 , arXiv: 2110.13105
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2
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| 33. |
M. Hrbek, L. Positselski, A. Slávik, “Countably generated flat modules are quite flat”, Journ. of Commutative Algebra, 14:1 (2022), 37-54 , arXiv: 1907.00356
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1
[x]
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| 34. |
L. Positselski, J. Šťovíček, “Topologically semisimple and topologically perfect topological rings”, Publicacions Matemàtiques, 66:2 (2022), 457–540 mat.uab.cat/pubmat/volums/navegador, arXiv: 1909.12203
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5
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| 35. |
S. Bazzoni, L. Positselski, J. Šťovíček, “Projective covers of flat contramodules”, Internat. Math. Research Notices, 2022:24 (2022), 19527–19564 , arXiv: 1911.11720
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6
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| 2021 |
| 36. |
L. Positselski, J. Šťovíček, “The tilting-cotilting correspondence”, Internat. Math. Research Notices, 2021:1 (2021), 189–274 , arXiv: 1710.02230
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20
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| 37. |
L. Positselski, O. M. Schnürer, “Unbounded derived categories of small and big modules: Is the natural functor fully faithful?”, Journ. of Pure and Appl. Algebra, 225:11 (2021), 106722 , 23 pp., arXiv: 2003.11261
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4
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| 38. |
S. Bazzoni, L. Positselski, “Covers and direct limits: a contramodule-based approach”, Mathematische Zeitschrift, 299:1–2 (2021), 1–52 , arXiv: 1907.05537
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8
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| 39. |
L. Positselski, Relative nonhomogeneous Koszul duality, Frontiers in Mathematics, Birkhäuser/Springer Nature, Cham, Switzerland, 2021 , xxix+278 pp.
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4
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| 40. |
L. Positselski, “Contramodules”, Confluentes Mathematici, 13:2 (2021), 93–182 , arXiv: 1503.00991
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9
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| 2020 |
| 41. |
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 |
| 42. |
L. Positselski, “Flat ring epimorphisms of countable type”, Glasgow Math. Journ., 62:2 (2020), 383–439 , arXiv: 1808.00937
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8
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| 43. |
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
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11
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| 44. |
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
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6
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| 45. |
L. Positselski, “Pseudo-dualizing complexes and pseudo-derived categories”, Rendiconti Seminario Matematico Univ. Padova, 143 (2020), 153–225 , arXiv: 1703.04266
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7
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| 46. |
M. Lieberman, L. Positselski, J. Rosický, S. Vasey, “Cofibrant generation of pure monomorphisms”, Journal of Algebra, 560 (2020), 1297–1310 , arXiv: 2001.02062
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4
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| 2019 |
| 47. |
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
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3
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| 48. |
L. Positselski, A. Slávik, “On strongly flat and weakly cotorsion modules”, Mathematische Zeitschrift, 291:3-4 (2019), 831–875 , arXiv: 1708.06833
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9
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| 49. |
S. Bazzoni, L. Positselski, “$S$-almost perfect commutative rings”, Journ. of Algebra, 532 (2019), 323–356 , arXiv: 1801.04820
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15
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| 50. |
L. Positselski, J. Šťovíček, “∞-tilting theory”, Pacific Journ. of Math., 301:1 (2019), 297–334 , arXiv: 1711.06169
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13
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| 51. |
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 |
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| 2018 |
| 52. |
L. Positselski, Abelian right perpendicular subcategories in module categories, 2018 , 57 pp., arXiv: 1705.04960 |
| 53. |
L. Positselski, “Triangulated Matlis equivalence”, J. of Algebra and its Appl., 17:4 (2018), 1850067 , 44 pp., arXiv: 1605.08018
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14
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| 54. |
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 |
| 55. |
L. Positselski, “Dedualizing complexes of bicomodules and MGM duality over coalgebras”, Algebras and Represent. Theory, 21:4 (2018), 737–767 , arXiv: 1607.03066
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3
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| 56. |
L. Positselski, “Categorical Bockstein sequences”, Appl. Categor. Struct., 26:6 (2018), 1211–1263 , arXiv: 1404.5011 |
| 57. |
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
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8
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| 2017 |
| 58. |
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 
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12
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| 59. |
L. Positselski, “Koszulity of cohomology = $K(\pi,1)$-ness + quasi-formality”, Journ. of Algebra, 483 (2017), 188–229 , arXiv: 1507.04691
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9
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| 60. |
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
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22
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| 61. |
Leonid Positselski, “Contraadjusted modules, contramodules, and reduced cotorsion modules”, Moscow Math. Journ., 17:3 (2017), 385–455 , arXiv: 1605.03934 
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21
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| 2016 |
| 62. |
L. Positselski, Noncommutative Kummer theory, 2016 , 7 pp., arXiv: 1606.03880 |
| 63. |
L. Positselski, “Dedualizing complexes and MGM duality”, Journ. of Pure and Appl. Algebra, 220:12 (2016), 3866–3909 , arXiv: 1503.05523
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19
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| 2015 |
| 64. |
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
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45
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| 65. |
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
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1
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| 2014 |
| 66. |
L. Positselski, “Galois cohomology of a number field is Koszul”, Journ. of Number Theory, 145 (2014), 126–152 , arXiv: 1008.0095
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11
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| 2012 |
| 67. |
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 |
| 68. |
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
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23
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| 2011 |
| 69. |
Leonid Positselski, “Mixed Artin–Tate motives with finite coefficients”, Mosc. Math. J., 11:2 (2011), 317–402 , arXiv: 1006.4343
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22
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| 70. |
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
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53
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| 2010 |
| 71. |
R. Bezrukavnikov, L. Positselski, “On semi-infinite cohomology of finite-dimensional graded algebras”, Compositio Math., 146:2 (2010), 480–496 , arXiv: 0803.3252
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3
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| 72. |
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
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34
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| 2005 |
| 73. |
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
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19
[x]
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| 74. |
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
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3
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| 75. |
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
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135
[x]
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| 2002 |
| 76. |
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
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7
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| 1999 |
| 77. |
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/ |
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| 1995 |
| 78. |
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 |
| 79. |
L. Positselski, A. Vishik, “Koszul duality and Galois cohomology”, Math. Research Letters, 2:6 (1995), 771–781 , arXiv: alg-geom/9507010
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| 80. |
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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| 1993 |
| 81. |
L. E. Positsel′skii, “Nonhomogeneous quadratic duality and curvature”, Funct. Anal. Appl., 27:3 (1993), 197–204 |
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| 1991 |
| 82. |
L. E. Positsel′skii, “Local Plücker formulas for a semisimple Lie group”, Funct. Anal. Appl., 25:4 (1991), 291–292 |
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