| List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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 2024 |
| 1. |
Agnieszka Bodzenta, Alexey Bondal, “Abelian envelopes of exact categories and highest weight categories”, Math. Z., 308 (2024), 8 , 52 pp., arXiv: 2012.15707    ; |
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| 2023 |
| 2. |
A. I. Bondal, A. A. Roslyi, “Coherent sheaves, Chern classes, and superconnections on compact complex-analytic manifolds”, Izv. Math., 87:3 (2023), 439–468     |
| 3. |
Agnieszka Bodzenta, Alexey Bondal, “Reconstruction of a surface from the category of reflexive sheaves”, Adv. Math., 434 (2023), 109338 , 38 pp., arXiv: 2302.04635 ; |
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| 2022 |
| 4. |
Agnieszka Bodzenta, Alexey Bondal, “Flops and spherical functors”, Compositio Math., 158:5 (2022), 1125–1187 , arXiv: 1511.00665 ;
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7
[x]
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| 2021 |
| 5. |
A. I. Bondal, I. Yu. Zhdanovskiy, “Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves”, Russian Math. Surveys, 76:2 (2021), 195–259  |
| 6. |
A. I. Bondal, “Unbreakable ties in the city of nn”, Math. Ed., 2021, no. 4(100), 21–23 |
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| 2019 |
| 7. |
Alexey Bondal, Ilya Zhdanovskiy, “Symplectic geometry of unbiasedness and critical points of a potential”, Primitive Forms and Related Subjects, Kavli IPMU 2014, Adv. Stud. Pure Math., 83, Mathematical Society of Japan, Tokyo, 2019, 1–18 , arXiv: 1507.00081 ;
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5
[x]
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| 2018 |
| 8. |
Alexey Bondal, Mikhail Kapranov, Vadim Schechtman, “Perverse schobers and birational geometry”, Selecta Math. (N.S.), 24:1 (2018), 85–143
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13
[x]
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| 9. |
Agnieszka Bodzenta, Alexey Bondal, “Canonical tilting relative generators”, Adv. Math., 323 (2018), 226–278
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3
[x]
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| 2015 |
| 10. |
Alexey Bondal, Ilya Zhdanovskiy, “Coherence of relatively quasi-free algebras”, Eur. J. Math., 1:4 (2015), 695–703
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3
[x]
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| 2016 |
| 11. |
J. Math. Sci. (N. Y.), 216:1 (2016), 23–40 |
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| 2015 |
| 12. |
A. Bondal, I. Zhdanovskiy, Symplectic geometry of unbiasedness and critical points of a potential, 2015 , 14 pp., to appear in: Advanced Studies in Pure Mathematics Advanced Studies in Pure Mathematics Book Series. Japan, Tokyo: the Mathematical Society of Japan by Kinokuniya, Tokyo, 2016, arXiv: 1507.00081 |
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| 2014 |
| 13. |
A. Bondal, I. Zhdanovskiy, Orthogonal pairs for Lie algebra sl(6), IPMU14-0296, IPMU, Kashiwa, Japan, 2014 , 89 pp. |
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| 2013 |
| 14. |
A. I. Bondal, “Operations on $t$-structures and perverse coherent sheaves”, Izv. Math., 77:4 (2013), 651–674 |
| 15. |
A. Bondal, I. Zhdanovskiy, Representation theory for system of projectors and discrete Laplace operators, IPMU13-0001, IPMU, Kashiwa, Japan, 2013 , 48 pp. |
| 16. |
A. Bondal, I. Zhdanovskiy, Coherence of relatively quasi-free algebras, IPMU13-0053, IPMU, Kashiwa, Japan, 2013 , 6 pp. |
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| 2011 |
| 17. |
A. Bondal, “From algebras to varieties”, IPMU News, 2011, no. 14, 4–9 http://www.ipmu.jp/webfm_send/506 |
| 18. |
A. Bondal, A. Rosly, Derived categories for complex-analytic manifolds, IPMU11-0117, IPMU, Kashiwa, Japan, 2011 , 16 pp. |
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| 2009 |
| 19. |
A. I. Bondal, “Geometriya i deistvitelnye chisla v fizike”, Matematicheskoe obrazovanie, 2009, no. 3(51), 2–6 |
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| 2007 |
| 20. |
A. I. Bondal, I. Yu. Zhdanovskiy, “Orthogonal decompositions of the Lie algebra $sl(n)$ and harmonic analysis on graphs”, International Algebraic Conference dedicated to 100-th anniversary of D. K. Faddeev (St.-Petersburg, September 24–29, 2007), Abstracts, St. Petersburg Department of the V. A. Steklov Institute of Mathematics of RAS, St.-Petersburg, 2007, 93–97 http://www.pdmi.ras.ru/EIMI/2007/DKF/abs2.pdf |
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| 2006 |
| 21. |
A. Bondal, “Derived categories of toric varieties”, Convex and algebraic geometry, Oberwolfach Report 5/2006, EMS Publishing House, 2006, 284–286 http://www.maths.gla.ac.uk/~anc/pubs/MFOreport5.pdf |
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| 2005 |
| 22. |
A. I. Bondal, Triangulirovannye kategorii v kommutativnoi i nekommutativnoi geometrii, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 2005 , 153 pp. |
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| 2004 |
| 23. |
A. I. Bondal, M. Larsen, V. A. Lunts, “Grothendieck ring of pretriangulated categories”, Int. Math. Res. Not., 2004, no. 29, 1461–1495
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58
[x]
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| 24. |
A. I. Bondal, “A symplectic groupoid of triangular bilinear forms and the braid group”, Izv. Math., 68:4 (2004), 659–708 |
| 25. |
A. I. Bondal, “Symplectic Groupoids Related to Poisson–Lie Groups”, Proc. Steklov Inst. Math., 246 (2004), 34–53 |
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| 2003 |
| 26. |
A. I. Bondal, M. Van den Bergh, “Generators and representability of functors in commutative and noncommutative geometry”, Mosc. Math. J., 3:1 (2003), 1–36
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344
[x]
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| 2002 |
| 27. |
A. Bondal, D. Orlov, “Derived categories of coherent sheaves”, Proceedings of the International Congress of Mathematicians (Beijing, 2002), v. II, Higher Ed. Press, Beijing, 2002, 47–56 |
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| 2001 |
| 28. |
A. Bondal, D. Orlov, “Reconstruction of a variety from the derived category and groups of autoequivalences”, Compositio Math., 125:3 (2001), 327–344
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111
[x]
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| 1995 |
| 29. |
A. Bondal, D. Orlov, Semiorthogonal decompositions for algebraic varieties, 1995 , 56 pp., arXiv: alg-geom/9506012 |
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| 1994 |
| 30. |
A. I. Bondal, A. E. Polishchuk, “Homological properties of associative algebras: the method of helices”, Russian Acad. Sci. Izv. Math., 42:2 (1994), 219–260 |
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| 1993 |
| 31. |
A. Bondal, Non-commutative deformations and Poisson brackets on projective spaces, Preprint 93-67, Max-Planck-Institut, Bonn, 1993 , 14 pp. |
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| 1990 |
| 32. |
A. I. Bondal, “Helices, representations of quivers and Koszul algebras”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 75–95 |
| 33. |
A. I. Bondal, M. M. Kapranov, “Homogeneous bundles”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 45–55 |
| 34. |
A. I. Bondal, A. L. Gorodentsev, “On the functors $\mathrm{Ext}^{\bullet}$ applied to exceptional bundles on $\mathbf P^2$”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 39–44 |
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| 1991 |
| 35. |
A. I. Bondal, M. M. Kapranov, “Enhanced triangulated categories”, Math. USSR-Sb., 70:1 (1991), 93–107 |
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| 1990 |
| 36. |
A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Math. USSR-Izv., 35:3 (1990), 519–541 |
| 37. |
A. I. Bondal, “Representation of associative algebras and coherent sheaves”, Math. USSR-Izv., 34:1 (1990), 23–42 |
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| 1986 |
| 38. |
A. I. Bondal, “Invariantnye reshetki tipa $A_{p-1}$”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1986, no. 1, 52–54
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2
[x]
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| 1987 |
| 39. |
A. I. Bondal, A. I. Kostrikin, Pham Huu Tiep, “Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras $A_{p-1}$”, Math. USSR-Sb., 58:2 (1987), 435–465 |
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| 1981 |
| 40. |
A. I. Bondal, V. A. Ufnarovskii, “O konechnoi predstavimosti algebr Li kartanovskogo tipa”, Tezisy 16-i Vsesoyuznoi Algebraicheskoi Konferentsii (Leningrad), Nauka, 1981, 22 |
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