А. Г. Кузнецов, “Гиперплоские сечения и производные категории”, Изв. РАН. Сер. матем., 70:3 (2006), 23–128; A. G. Kuznetsov, “Hyperplane sections and derived categories”, Izv. Math., 70:3 (2006), 447–547
A. Kapustin, A. Kuznetsov, D. Orlov, “Noncommutative instantons and twistor transform”, Comm. Math. Phys., 221:2 (2001), 385–432
Alexander Kuznetsov, Maxim Smirnov, “On residual categories for Grassmannians”, Proc. London Math. Soc. (3), 120:5 (2020), 617–641;
2.
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: moduli”, Int. J. Math., 31:2 (2020), 2050013 , 59 pp. (cited: 1) ;
2019
3.
А. Г. Кузнецов, “Вложение производных категорий поверхностей Энриквеса в производные категории многообразий Фано”, Изв. РАН. Сер. матем., 83:3 (2019), 127–132; A. G. Kuznetsov, “Embedding derived categories of Enriques surfaces in derived categories of Fano varieties”, Izv. Math., 83:3 (2019), 534–539
4.
Alexander Kuznetsov, “Calabi-Yau and fractional Calabi-Yau categories”, J. Reine Angew. Math., 753 (2019), 239–267 , arXiv: 1509.07657 (cited: 5) (cited: 5)
5.
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: 5) (cited: 5) (cited: 1)
6.
Alexander Kuznetsov, “Derived categories of families of sextic del Pezzo surfaces”, Int. Math. Res. Not. IMRN, 2019, 81 (Published online) , 78 pp.
7.
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: linear spaces and periods”, Kyoto J. Math., 59:4 (2019), 897-953 (cited: 2) (cited: 2)
8.
Olivier Debarre, Alexander Kuznetsov, “Double covers of quadratic degeneracy and Lagrangian intersection loci”, Math. Ann., 2019, 1–35 (Published online)
2018
9.
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: 3) (cited: 3)
10.
Anton Fonarev, Alexander Kuznetsov, “Derived categories of curves as components of Fano manifolds”, J. London Math. Soc., 97:1 (2018), 24–46 (цит.: 4) (цит.: 3)
11.
Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: Classification and birationalities”, Algebr. Geom., 5:1 (2018), 15–74 (cited: 14) (cited: 13)
12.
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: 11) (cited: 9)
13.
А. Г. Кузнецов, “О линейных сечениях спинорного 10-мерного многообразия, I”, Изв. РАН. Сер. матем., 82:4 (2018), 53–114 (цит.: 1) (цит.: 1) ; A. G. Kuznetsov, “On linear sections of the spinor tenfold. I”, Izv. Math., 82:4 (2018), 694–751 (cited: 1) (cited: 2)
14.
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: 1)
15.
Alexander Kuznetsov, Alexander Perry, “Derived categories of Gushel–Mukai varieties”, Compositio Math., 154:7 (2018), 1362–1406 (cited: 5) (cited: 5)
16.
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: 6) (cited: 5)
17.
Alexander Kuznetsov, “Derived equivalence of Ito–Miura–Okawa–Ueda Calabi-Yau 3-folds”, J. Math. Soc. Japan, 70:3 (2018), 1007–1013 (cited: 1) (cited: 1)
18.
А. Г. Кузнецов, “Письмо в редакцию”, Изв. РАН. Сер. матем., 82:5 (2018), 227–228
2017
19.
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: 6) (cited: 6)
20.
А. Г. Кузнецов, “Исключительные наборы в поверхностноподобных категориях”, Матем. сб., 208:9 (2017), 116–147 (цит.: 4) (цит.: 4) ; A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398 (cited: 4) (cited: 3)
2016
21.
Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574 , arXiv: 1110.5607 (cited: 5) (cited: 6)
22.
O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: linear spaces and periods, 2016 , arXiv: 1605.05648
23.
Alexander Kuznetsov, “Küchle fivefolds of type c5”, Math. Z., 284:3 (2016), 1245–1278 , arXiv: 1603.03161 (cited: 11) (cited: 11)
24.
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
25.
Alexander Kuznetsov, “Derived Categories View on Rationality Problems”, Lecture Notes in Comput. Sci., 2172, 2016, 67–104 , arXiv: 1509.09115 (cited: 8) (cited: 11)
2015
26.
C. Ingalls, A. Kuznetsov, “On nodal Enriques surfaces and quartic double solids”, Math. Ann., 361:2 (2015), 107–133 (cited: 7)
27.
А. Г. Кузнецов, “О многообразиях Кюхле с числом Пикара большим 1”, Изв. РАН. Сер. матем., 79:4 (2015), 57–70 (цит.: 12) (цит.: 13) (цит.: 1); A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709 (cited: 13) (cited: 8)
28.
Alexander Kuznetsov, Valery A. Lunts, “Categorical resolutions of irrational singularities”, Int. Math. Res. Not. IMRN, 2015:13 (2015), 4536–4625 (cited: 4) (cited: 22) (cited: 2) (cited: 18)
29.
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: 10) (cited: 1) (cited: 11)
30.
O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015 , arXiv: 1510.05448
31.
D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732
2014
32.
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
33.
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: 6)
34.
D. Kaledin, A. Kuznetsov, Refined blowups, 2014 , 15 pp., arXiv: 1410.7121
2013
35.
A. Kuznetsov, A simple counterexample to the Jordan-Hölder property for derived categories, 2013 , 5 pp., arXiv: 1304.0903
2012
36.
A. Kuznetsov, “Instanton bundles on Fano threefolds”, Cent. Eur. J. Math., 10:4 (2012), 1198–1231 (cited: 12) (cited: 5) (cited: 15)
2011
37.
A. Kuznetsov, “Base change for semiorthogonal decompositions”, Compos. Math., 147:3 (2011), 852–876 (cited: 24) (cited: 9) (cited: 21)
2010
38.
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: 62)
39.
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: 4) (cited: 2) (cited: 3)
2009
40.
A. Kuznetsov, Hochschild homology and semiorthogonal decompositions, 2009 , 30 pp., arXiv: 0904.4330
41.
A. Kuznetsov, D. Markushevich, “Symplectic structures on moduli spaces of sheaves via the Atiyah class”, J. Geom. Phys., 59:7 (2009), 843–860 (cited: 20) (cited: 7) (cited: 24)
42.
А. Г. Кузнецов, “Производные категории трехмерных многообразий Фано”, Многомерная алгебраическая геометрия, Сборник статей. Посвящается памяти члена-корреспондента РАН Василия Алексеевича Исковских, Тр. МИАН, 264, МАИК, М., 2009, 116–128 (цит.: 17) (цит.: 18) ; A. G. Kuznetsov, “Derived Categories of Fano Threefolds”, Proc. Steklov Inst. Math., 264 (2009), 110–122 (cited: 18) (cited: 8) (cited: 13)
43.
S. Gusein-Zade, Yu. Ilyashenko, D. Kaledin, A. Kuznetsov, S. Lando, A. Sossinski, M. Tsfasman, V. Vassiliev, A. Vershik, “A tribute to Pierre Deligne”, Mosc. Math. J., 9:1 (2009), 1–2 (cited: 18)
2008
44.
A. Kuznetsov, “Exceptional collections for Grassmannians of isotropic lines”, Proc. Lond. Math. Soc. (3), 97:1 (2008), 155–182 (cited: 23) (cited: 8) (cited: 22)
45.
A. Kuznetsov, “Derived categories of quadric fibrations and intersections of quadrics”, Adv. Math., 218:5 (2008), 1340–1369 (cited: 61) (cited: 25) (cited: 61)
46.
A. Kuznetsov, “Lefschetz decompositions and categorical resolutions of singularities”, Selecta Math. (N.S.), 13:4 (2008), 661–696 (cited: 36) (cited: 14) (cited: 35)
A. G. Kuznetsov, “Quiver varieties and Hilbert schemes”, Mosc. Math. J., 7:4 (2007), 673–697 (cited: 12) (cited: 15)
2006
49.
А. Г. Кузнецов, “Гиперплоские сечения и производные категории”, Изв. РАН. Сер. матем., 70:3 (2006), 23–128 (цит.: 45) (цит.: 39) (цит.: 13); A. G. Kuznetsov, “Hyperplane sections and derived categories”, Izv. Math., 70:3 (2006), 447–547 (cited: 39) (cited: 15) (cited: 32)
50.
A. Kuznetsov, Homological projective duality for Grassmannians of lines, 2006 , arXiv: 0610957
2005
51.
А. Г. Кузнецов, “Производные категории трехмерных многообразий Фано $V_{12}$”, Матем. заметки, 78:4 (2005), 579–594 (цит.: 11) (цит.: 11) (цит.: 5); A. G. Kuznetsov, “Derived Categories of Fano Threefolds $V_{12}$”, Math. Notes, 78:4 (2005), 537–550 (cited: 11) (cited: 7)
2004
52.
А. Г. Кузнецов, “Производная категория трехмерной кубики и многообразия $V_{14}$”, Алгебраическая геометрия: Методы, связи и приложения, Сборник статей. Посвящается памяти члена-корреспондента РАН Андрея Николаевича Тюрина, Тр. МИАН, 246, Наука, М., 2004, 183–207 (цит.: 34) ; A. G. Kuznetsov, “Derived Categories of Cubic and $V_{14}$”, Proc. Steklov Inst. Math., 246 (2004), 171–194
2003
53.
M. Finkelberg, D. Gaitsgory, A. Kuznetsov, “Uhlenbeck spaces for $\mathbb A^2$ and affine Lie algebra $\widehat{\mathfrak{sl}}_n$”, Publ. Res. Inst. Math. Sci., 39:4 (2003), 721–766 (cited: 13) (cited: 11) (cited: 13)
54.
V. Baranovsky, V. Ginzburg, A. Kuznetsov, “Wilson's Grassmannian and a noncommutative quadric”, Int. Math. Res. Not., 2003, no. 21, 1155–1197 (cited: 17) (cited: 13) (cited: 15)
2002
55.
V. Baranovsky, V. Ginzburg, A. Kuznetsov, “Quiver varieties and a noncommutative $\mathbb P^2$”, Compositio Math., 134:3 (2002), 283–318 (cited: 23) (cited: 13) (cited: 19)
2001
56.
A. Kapustin, A. Kuznetsov, D. Orlov, “Noncommutative instantons and twistor transform”, Comm. Math. Phys., 221:2 (2001), 385–432 (cited: 70) (cited: 57) (cited: 76)
2000
57.
M. Finkelberg, A. Kuznetsov, “Parabolic sheaves on surfaces and affine Lie algebra $\widehat{\mathfrak{gl}}_n$”, J. Reine Angew. Math., 529 (2000), 155–203 (cited: 2) (cited: 1) (cited: 2)
1999
58.
B. Feigin, M. Finkelberg, A. Kuznetsov, I. Mirković, “Semi-infinite flags. II. Local and global intersection cohomology of quasimaps' spaces”, Differential topology, infinite-dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2, 194, Amer. Math. Soc., Providence, RI, 1999, 113–148
59.
M. Finkelberg, A. Kuznetsov, N. Markarian, I. Mirković, “A note on a symplectic structure on the space of $G$-monopoles”, Comm. Math. Phys., 201:2 (1999), 411–421 (cited: 13) (cited: 5) (cited: 12)
1998
60.
M. Finkelberg, A. Kuznetsov, I. Mirković, “The singular supports of IC sheaves on spaces of quasimaps are irreducible”, Topics in quantum groups and finite-type invariants, Amer. Math. Soc. Transl. Ser. 2, 185, Amer. Math. Soc., Providence, RI, 1998, 85–93
1997
61.
A. Kuznetsov, “Laumon's resolution of Drinfel'd's compactification is small”, Math. Res. Lett., 4:2-3 (1997), 349–364 (cited: 12) (cited: 11) (cited: 14)
62.
M. Finkelberg, A. Kuznetsov, “Global intersection cohomology of quasimaps' spaces”, Internat. Math. Res. Notices, 1997, no. 7, 301–328
1996
63.
А. Г. Кузнецов, “Исключительный набор векторных расслоений на трехмерных многообразиях Фано $V_{22}$”, Вест. Моск. ун-та. Сер. I. Матем., мех., 1996, № 3, 41–44 (цит.: 2) ; A. G. Kuznetsov, “An exception set of vector bundles on the varieties $V_{22}$”, Moscow Univ. Math. Bull., 51:3 (1996), 35–37
64.
A. Kuznetsov, I. Pak, A. Postnikov, “Trees associated with the Motzkin numbers”, J. Combin. Theory Ser. A, 76:1 (1996), 145–147 (cited: 4)
1994
65.
А. Г. Кузнецов, И. М. Пак, А. Е. Постников, “Возрастающие деревья и альтернирующие перестановки”, УМН, 49:6(300) (1994), 79–110 (цит.: 5) (цит.: 29); A. G. Kuznetsov, I. M. Pak, A. E. Postnikov, “Increasing trees and alternating permutations”, Russian Math. Surveys, 49:6 (1994), 79–114 (cited: 29) (cited: 31)
О многообразиях Кюхле А. Г. Кузнецов Однодневная конференция, посвященная 50-летию Ю. Г. Прохорова 4 апреля 2014 г. 12:00
47.
Высшие раздутия А. Г. Кузнецов Международная конференция «Геометрия алгебраических многообразий», посвященная памяти В. А. Исковских 23 октября 2013 г. 12:15
Исключительные наборы на однородных пространствах А. Г. Кузнецов Общеинститутский семинар «Математика и ее приложения» Математического института им. В.А. Стеклова Российской академии наук 20 сентября 2012 г. 16:00
55.
Homological projective duality A. G. Kuznetsov Международная конференция «Связь теории струн с калибровочными теориями и проблемы модулей бран» 11 сентября 2012 г. 15:10
Исключительные наборы на изотропных грассманианах А. Г. Кузнецов Международная конференция «АЛГЕБРАИЧЕСКАЯ ГЕОМЕТРИЯ: методы, связи и приложения», посвященная 70-летию со дня рождения Андрея Николаевича Тюрина 24 февраля 2010 г. 14:00
Derived categories of Fano 3-folds A. G. Kuznetsov Международная конференция «Геометрия алгебраических многообразий», посвященная памяти Василия Алексеевича Исковских 3 июля 2009 г. 14:00
2020
Пользовательское соглашение