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Кузнецов Александр Геннадьевич
(публикации за последние годы)
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2021 |
1. |
Alexander Kuznetsov, Alexander Perry, “Categorical joins”, J. Am. Math. Soc., 34 (2021), 505–564 (cited: 3); |
2. |
Alexander Kuznetsov, “Derived categories of families of sextic del Pezzo surfaces”, Int. Math. Res. Not. IMRN, 2021:12 (2021), 9262–9339 (cited: 6); |
3. |
А. Г. Кузнецов, Д. О. Орлов, Н. А. Тюрин, А. Л. Городенцев, “Сергей Алексеевич Кулешов (24.12.1962 - 15.05.2021). Коллективный некролог”, Матем. обр., 2021, № 2(98), 2–4 |
4. |
Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Mukai varieties over non-closed fields”, Rationality of Varieties, Prog. Math., 342, Birkhäuser, Cham, 2021, 249–290 (cited: 1); |
5. |
Alexander Kuznetsov, Maxim Smirnov, “Residual categories for (co)adjoint Grassmannians in classical types”, Compositio Math., 157:6 (2021), 1172–1206 ; |
6. |
Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov, “Derived categories of the Cayley plane and the coadjoint Grassmannian of type F”, Transform. Groups, 2021, 1–26 (Published online) (cited: 1); (Published online) |
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2020 |
7. |
Olivier Debarre, Alexander Kuznetsov, “Double covers of quadratic degeneracy and Lagrangian intersection loci”, Math. Ann., 378:3 (2020), 1435–1469 (cited: 3) (cited: 3) |
8. |
Alexander Kuznetsov, Maxim Smirnov, “On residual categories for Grassmannians”, Proc. London Math. Soc. (3), 120:5 (2020), 617–641 (cited: 6) (cited: 4); |
9. |
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: moduli”, Int. J. Math., 31:2 (2020), 2050013 , 59 pp. (cited: 5) (cited: 9); |
10. |
Ivan Cheltsov, Alexander Kuznetsov, Konstantin Shramov, “Coble fourfold, $\mathfrak S6$-invariant quartic threefolds, and Wiman–Edge sextics”, Algebra Number Theory, 14:1 (2020), 213–274 , arXiv: 1712.08906 (cited: 2) (cited: 2); |
11. |
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: intermediate Jacobians”, Épijournal de Géom. Algébr., EPIGA, 4 (2020), 6475 , 45 pp., arXiv: 2002.05620 (cited: 3); |
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2019 |
12. |
А. Г. Кузнецов, “Вложение производных категорий поверхностей Энриквеса в производные категории многообразий Фано”, Изв. РАН. Сер. матем., 83:3 (2019), 127–132 (цит.: 3) (цит.: 3) ; A. G. Kuznetsov, “Embedding derived categories of Enriques surfaces in derived categories of Fano varieties”, Izv. Math., 83:3 (2019), 534–539 (cited: 3) (cited: 2) |
13. |
Alexander Kuznetsov, “Calabi-Yau and fractional Calabi-Yau categories”, J. Reine Angew. Math., 753 (2019), 239–267 , arXiv: 1509.07657 (cited: 24) (cited: 25) |
14. |
John Alexander Cruz Morales,, Anton Mellit, Nicolas Perrin, Maxim Smirnov, Alexander Kuznetsov, “On quantum cohomology of Grassmannians of isotropic lines, unfoldings of $A_n$-singularities, and Lefschetz exceptional collections”, Ann. Inst. Fourier (Grenoble), 69:3 (2019), 955–991 (cited: 165) (cited: 165) (cited: 4) |
15. |
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: linear spaces and periods”, Kyoto J. Math., 59:4 (2019), 897-953 (cited: 14) (cited: 13) |
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2018 |
16. |
Michael Finkelberg, Alexander Kuznetsov, Leonid Rybnikov, Galyna Dobrovolska, “Towards a cluster structure on trigonometric zastava”, Selecta Math. (N.S.), 24:1 (2018), 187–225 , arXiv: 1504.05605 (cited: 5) (cited: 5) |
17. |
Anton Fonarev, Alexander Kuznetsov, “Derived categories of curves as components of Fano manifolds”, J. London Math. Soc., 97:1 (2018), 24–46 (цит.: 7) (цит.: 7) |
18. |
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: Classification and birationalities”, Algebr. Geom., 5:1 (2018), 15–74 (cited: 30) (cited: 30) |
19. |
Alexander G. Kuznetsov, Yuri G. Prokhorov, Constantin A. Shramov, “Hilbert schemes of lines and conics and automorphism groups of Fano threefolds”, Jpn. J. Math., 13:1 (2018), 109–185 , arXiv: 1605.02010 (cited: 34) (cited: 30) |
20. |
А. Г. Кузнецов, “О линейных сечениях спинорного 10-мерного многообразия, I”, Изв. РАН. Сер. матем., 82:4 (2018), 53–114 (цит.: 10) (цит.: 9) ; A. G. Kuznetsov, “On linear sections of the spinor tenfold. I”, Izv. Math., 82:4 (2018), 694–751 (cited: 9) (cited: 5) |
21. |
Alexander Kuznetsov, Yuri Prokhorov, “Prime Fano threefolds of genus 12 with a $G_m$-action and their automorphisms”, Épijournal de Géom. Algébr., EPIGA, 2 (2018), 3 , 14 pp., arXiv: 1711.08504 (cited: 5) |
22. |
Alexander Kuznetsov, Alexander Perry, “Derived categories of Gushel–Mukai varieties”, Compositio Math., 154:7 (2018), 1362–1406 (cited: 20) (cited: 18) |
23. |
Alexander Kuznetsov, Evgeny Shinder, “Grothendieck ring of varieties, $D$- and $L$-equivalence, and families of quadrics”, Selecta Math. (N.S.), 24:4 (2018), 3475–3500 (cited: 11) (cited: 11) |
24. |
Alexander Kuznetsov, “Derived equivalence of Ito–Miura–Okawa–Ueda Calabi-Yau 3-folds”, J. Math. Soc. Japan, 70:3 (2018), 1007–1013 (cited: 8) (cited: 7) |
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2017 |
25. |
Alexander Kuznetsov, Alexander Perry, “Derived categories of cyclic covers and their branch divisors”, Selecta Math. (N.S.), 23:1 (2017), 389–423 , arXiv: 1411.1799 (cited: 10) (cited: 10) |
26. |
А. Г. Кузнецов, “Исключительные наборы в поверхностноподобных категориях”, Матем. сб., 208:9 (2017), 116–147 (цит.: 5) (цит.: 4) ; A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398 (cited: 4) (cited: 3) |
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2016 |
27. |
Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574 , arXiv: 1110.5607 (cited: 11) (cited: 11) |
28. |
O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: linear spaces and periods, 2016 , arXiv: 1605.05648 |
29. |
Alexander Kuznetsov, “Küchle fivefolds of type c5”, Math. Z., 284:3 (2016), 1245–1278 , arXiv: 1603.03161 (cited: 22) (cited: 22) |
30. |
Michael Finkelberg, Victor Ginzburg, Andrei Ionov, Alexander Kuznetsov, “Intersection cohomology of the Uhlenbeck compactification of the Calogero–Moser space”, Selecta Math. (N.S.), 22:4 (2016), 2491–2534 , arXiv: 1506.05205 (cited: 1) |
31. |
Alexander Kuznetsov, “Derived Categories View on Rationality Problems”, Lecture Notes in Comput. Sci., 2172, 2016, 67–104 , arXiv: 1509.09115 (cited: 22) (cited: 25) |
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2015 |
32. |
C. Ingalls, A. Kuznetsov, “On nodal Enriques surfaces and quartic double solids”, Math. Ann., 361:2 (2015), 107–133 (cited: 9) |
33. |
А. Г. Кузнецов, “О многообразиях Кюхле с числом Пикара большим 1”, Изв. РАН. Сер. матем., 79:4 (2015), 57–70 (цит.: 17) (цит.: 16) (цит.: 1); A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709 (cited: 16) (cited: 9) |
34. |
Alexander Kuznetsov, Valery A. Lunts, “Categorical resolutions of irrational singularities”, Int. Math. Res. Not. IMRN, 2015:13 (2015), 4536–4625 (cited: 5) (cited: 34) (cited: 2) (cited: 27) |
35. |
Alexander Kuznetsov, “Height of exceptional collections and Hochschild cohomology of quasiphantom categories”, J. Reine Angew. Math., 708 (2015), 213–243 , arXiv: 1211.4693 (cited: 1) (cited: 14) (cited: 1) (cited: 15) |
36. |
O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015 , arXiv: 1510.05448 |
37. |
D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732 (cited: 1) |
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2014 |
38. |
A. Kuznetsov, “Semiorthogonal decompositions in algebraic geometry”, Proceedings of the International Congress of Mathematicians, Seoul, v. II, 2014, 635–660 , 27 pp., arXiv: 1404.3143 |
39. |
A. Kuznetsov, “Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category”, Math. Z., 276:3-4 (2014), 655–672 , arXiv: 1012.3530 (cited: 7) (cited: 3) (cited: 7) |
40. |
D. Kaledin, A. Kuznetsov, Refined blowups, 2014 , 15 pp., arXiv: 1410.7121 |
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2013 |
41. |
A. Kuznetsov, A simple counterexample to the Jordan-Hölder property for derived categories, 2013 , 5 pp., arXiv: 1304.0903 |
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2012 |
42. |
A. Kuznetsov, “Instanton bundles on Fano threefolds”, Cent. Eur. J. Math., 10:4 (2012), 1198–1231 (cited: 25) (cited: 5) (cited: 28) |
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2011 |
43. |
A. Kuznetsov, “Base change for semiorthogonal decompositions”, Compos. Math., 147:3 (2011), 852–876 (cited: 46) (cited: 9) (cited: 46) |
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2010 |
44. |
A. Kuznetsov, “Derived categories of cubic fourfolds”, Cohomological and geometric approaches to rationality problems, Progr. Math., 282, Birkhäuser Boston Inc., Boston, MA, 2010, 219–243 , arXiv: 0808.3351 (cited: 100) |
45. |
A. Kuznetsov, L. Manivel, D. Markushevich, “Abel-Jacobi maps for hypersurfaces and noncommutative Calabi-Yau's”, Commun. Contemp. Math., 12:3 (2010), 373–416 , arXiv: 0806.1154 (cited: 7) (cited: 2) (cited: 6) |
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