L. Positselski - Publications

2016

Positselski L., Smooth duality and co-contra correspondence. Electronic preprint arXiv:1609.04597 [math.CT], 28 pp. http://arxiv.org/abs/1609.04597
Positselski L., Dedualizing complexes of bicomodules and MGM duality over coalgebras. Electronic preprint arXiv:1607.03066 [math.CT], 34 pp. http://arxiv.org/abs/1607.03066
Positselski L., Noncommutative Kummer theory. Electronic preprint arXiv:1606.03880 [math.KT], 7 pp. http://arxiv.org/abs/1606.03880
Positselski L., Triangulated Matlis equivalence. Electronic preprint arXiv:1605.08018 [math.CT], 39 pp. http://arxiv.org/abs/1605.08018
Positselski L., Contraadjusted modules, contramodules, and reduced cotorsion modules. Electronic preprint arXiv:1605.03934 [math.CT], 68 pp. http://arxiv.org/abs/1605.03934
Positselski L., Koszulity of cohomology = K(pi,1)-ness + quasi-formality. Electronic preprint arXiv:1507.04961 [math.KT], 39 pp. http://arxiv.org/abs/1507.04691
Positselski L., Coherent rings, fp-injective modules, dualizing complexes, and covariant Serre-Grothendieck duality. Electronic preprint arXiv:1504.00700 [math.CT], 30 pp. To appear in Selecta Math. (New Ser.) http://arxiv.org/abs/1504.00700
Positselski L., Dedualizing complexes and MGM duality. Journ. of Pure and Appl. Algebra 220 (2016), #12, p.3866-3909. http://arxiv.org/abs/1503.05523

2015

Positselski L., Rosicky J., Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories. Electronic preprint arXiv:1512.08119 [math.CT], 45 pp. http://arxiv.org/abs/1512.08119
Positselski L., Contramodules. Electronic preprint arXiv:1503.00991 [math.CT], 82 pp. http://arxiv.org/abs/1503.00991
Positselski L., Categorical Bockstein sequences. Electronic preprint arXiv:1404.5011 [math.KT], 53 pp. http://arxiv.org/abs/1404.5011
Positselski L., Contraherent cosheaves. Electronic preprint arXiv:1209.2995 [math.CT], 255 pp. http://arxiv.org/abs/1209.2995
Positselski L., Weakly curved A-infinity algebras over a topological local ring. Electronic preprint arXiv:1202.2697 [math.CT], 169 pp. http://arxiv.org/abs/1202.2697
Efimov A.I., Positselski L., Coherent analogues of matrix factorizations and relative singularity categories. Algebra and Number Theory 9 (2015), #5, p.1159-1292. http://arxiv.org/abs/1102.0261
Positselski L., Artin-Tate motivic sheaves with finite coefficients over an algebraic variety. Proceedings of the London Math. Soc. 111 (2015), #6, p.1402-1430. http://arxiv.org/abs/1012.3735

2014

Positselski L., Galois cohomology of a number field is Koszul. Journ. of Number Theory 145 (2014), p.126-152. http://arxiv.org/abs/1008.0095

2012

Polishchuk A., Positselski L., Hochschild (co)homology of the second kind I. Transactions of the Amer. Math. Soc. 364 (2012), #10, p.5311-5368. http://arxiv.org/abs/1010.0982
Positselski L., The algebra of closed forms in a disk is Koszul. Funct. Anal. Appl. 46 (2012), #3, p.218-224. http://arxiv.org/abs/1007.5010

2011

Positselski L., Mixed Artin-Tate motives with finite coefficients. Moscow Math. Journal 11 (2011), #2, p.317-402. http://arxiv.org/abs/1006.4343
Positselski L., Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence. Memoirs of the Amer. Math. Soc. 212 (2011), #996, vi+133 pp. http://arxiv.org/abs/0905.2621

2010

Positselski L., 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, vol.70, Birkhauser/Springer Basel, 2010. xxiv+349 pp. http://arxiv.org/abs/0708.3398
Bezrukavnikov R., Positselski L., On semi-infinite cohomology of finite-dimensional graded algebras. Compositio Math. 146 (2010), #2, p.480-496. http://arxiv.org/abs/0803.3252

2006

Positselski L., Galois cohomology of certain field extensions and the divisible case of Milnor-Kato conjecture. K-Theory 36 (2005), #1-2, p.33-50. http://arxiv.org/abs/math/0209037

2005

Positselski L., Koszul property and Bogomolov`s conjecture. Internat. Math. Research Notices 2005, #31, p.1901-1936. http://arxiv.org/abs/1405.0965
Polishchuk A., Positselski L., Quadratic Algebras. University Lecture Series 37. American Mathematical Society, Providence, RI, 2005. xii+159 pp. http://www.ams.org/bookstore?fn=20&arg1=ulectseries&ikey=ULECT-37

2002

Bezrukavnikov R., Braverman A., Positselski L., Gluing of abelian categories and differential operators on the basic affine space. Journ. Inst. Math. Jussieu 1 (2002), #4, p. 543-557. http://arxiv.org/abs/math/0104114

1999

Positselski L., Mixed Tate motives with finite coefficients and conjectures about the Galois groups of fields. Abstracts of conference talks, "Algebraische K-theorie", Tagungsbericht 39/1999, September-October 1999, Oberwolfach, Germany, p.8-9. http://www.mfo.de/document/9939/Report_39_99.ps

1995

Positselski L., Relation between the Hilbert series of quadratic dual algebras does not imply Koszulity. Funct. Anal. Appl. 29 (1995) #3, p.213-217. http://mi.mathnet.ru/faa604
Positselski L., All strictly exceptional collections in D^b_{coh}(P^m) consist of vector bundles. Electronic preprint arXiv:alg-geom/9507014, 6 pp. http://arxiv.org/abs/alg-geom/9507014
Positselski L., Vishik A., Koszul duality and Galois cohomology. Math. Research Letters 2 (1995), #6, p.771-781. http://arxiv.org/abs/alg-geom/9507010

1993

Positselski L., Nonhomogeneous quadratic duality and curvature. Funct. Anal. Appl. 27 (1993) #3, p.197-204. http://mi.mathnet.ru/faa712

1991

Positselski L., Local Pluecker formulas for a semisimple Lie group. Funct. Anal. Appl. 25 (1991) #4, p. 291-292. http://mi.mathnet.ru/faa902