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Кузнецов Александр Геннадьевич
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2026
1.	Современная алгебраическая геометрия, Сборник статей. К 60-летию академика Дмитрия Олеговича Орлова, Труды МИАН, 334, ред. С. О. Горчинский, Д. Б. Каледин, А. Г. Кузнецов, МИАН, М., 2026

2025
2.	A. G. Kuznetsov, Yu. G. Prokhorov, “$1$-nodal Fano threefolds with Picard number $1$”, Изв. РАН. Сер. матем., 89:3 (2025), 80–178 ; Izv. Math., 89:3 (2025), 495–594	2 ^[x]
3.	А. Г. Кузнецов, “Спинорные модификации расслоений на коники и производные категории 1-нодальных трехмерных многообразий Фано”, Бирациональная геометрия и многообразия Фано, Сборник статей. К 60-летию члена-корреспондента РАН Юрия Геннадьевича Прохорова, Труды МИАН, 329, МИАН, М., 2025, 100–131 ; A. G. Kuznetsov, “Spinor Modifications of Conic Bundles and Derived Categories of 1-Nodal Fano Threefolds”, Proc. Steklov Inst. Math., 329 (2025), 88–116
4.	В. А. Алексеев, С. О. Горчинский, М. Г. Зайденберг, А. Г. Кузнецов, Дж. МакКернан, Ш. Мори, Д. О. Орлов, В. В. Пржиялковский, Н. А. Тюрин, А. И. Шафаревич, В. В. Шокуров, К. А. Шрамов, “Юрий Геннадьевич Прохоров (к шестидесятилетию со дня рождения)”, УМН, 80:4(484) (2025), 183–192 ; V. A. Alexeev, S. O. Gorchinskiy, M. G. Zaidenberg, A. G. Kuznetsov, J. McKernan, S. Mori, D. O. Orlov, V. V. Przyjalkowski, N. A. Tyurin, A. I. Shafarevich, V. V. Shokurov, C. A. Shramov, “Yurii Gennadievich Prokhorov (on his sixtieth birthday)”, Russian Math. Surveys, 80:4 (2025), 733–741
5.	A. G. Kuznetsov, E. K. Shinder, “Derived categories of Fano threefolds and degenerations”, Invent. Math., 239 (2025), 377–430	6 ^[x]
6.	Alexander Kuznetsov, “Derived categories of families of Fano threefolds”, Algebr. Geom., 12:4 (2025), 519–574	2 ^[x]

2024
7.	J.-L. Colliot-Thélène, Alexander Kuznetsov, “Return to the arithmetic of the intersections of two quadrics”, J. Reine Angew. Math., 2024:806 (2024), 147–185, arXiv: 2208.04121	4 ^[x]
8.	Alexander Kuznetsov, Yuri Prokhorov, “Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank”, J. Inst. Math. Jussieu, 23:1 (2024), 207–247, arXiv: 2103.02934	6 ^[x]
9.	Alexander Kuznetsov, “Quadric bundles and hyperbolic equivalence”, Geom. Topol., 28:3 (2024), 1287–1339, arXiv: 2108.01546	3 ^[x]
10.	Alexander Kuznetsov, Evgeny Shinder, “Categorical absorptions of singularities and degenerations”, Épijournal de Géom. Algébr., EPIGA, 2024, 10836, 42 pp., arXiv: 2207.06477v5	5 ^[x]

2023
11.	A. G. Kuznetsov, Yu. G. Prokhorov, “On higher-dimensional del Pezzo varieties”, Изв. РАН. Сер. матем., 87:3 (2023), 75–148 ; Izv. Math., 87:3 (2023), 488–561	5 ^[x]
12.	Pieter Belmans, Alexander Kuznetsov, Maxim Smirnov, “Derived categories of the Cayley plane and the coadjoint Grassmannian of type F”, Transform. Groups, 28 (2023), 9–34	6 ^[x]
13.	А. Г. Кузнецов, “Явная деформация орисферического многообразия типа $\mathrm{G}_2$”, Матем. сб., 214:8 (2023), 63–73 ; A. G. Kuznetsov, “Explicit deformation of the horospherical variety of type $\mathrm{G}_2$”, Sb. Math., 214:8 (2023), 1111–1120
14.	Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Fano threefolds over non-closed fields”, Amer. J. Math., 145:2 (2023), 335–411, arXiv: 1911.08949	6 ^[x]
15.	Alexander Kuznetsov, Alexander Perry, “Categorical cones and quadratic homological projective duality”, Annales de l'ENS, 56:1 (2023), 1–57, arXiv: 1902.09824	10 ^[x]

2022
16.	Joseph Karmazyn, Alexander Kuznetsov, Evgeny Shinder, “Derived categories of singular surfaces”, J. Eur. Math. Soc. (JEMS), 24:2 (2022), 461–526, arXiv: 1809.10628	9 ^[x]
17.	Alexander Kuznetsov, “Simultaneous categorical resolutions”, Math. Z., 300 (2022), 3551–3576, arXiv: 2101.06943	2 ^[x]

2021
18.	Alexander Kuznetsov, Alexander Perry, “Categorical joins”, J. Am. Math. Soc., 34 (2021), 505–564	6 ^[x]
19.	Alexander Kuznetsov, “Derived categories of families of sextic del Pezzo surfaces”, Int. Math. Res. Not. IMRN, 2021:12 (2021), 9262–9339	12 ^[x]
20.	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
21.	Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Mukai varieties over non-closed fields”, Rationality of Varieties, Prog. Math., 342, Birkhäuser, Cham, 2021, 249–290	8 ^[x]
22.	Alexander Kuznetsov, Maxim Smirnov, “Residual categories for (co)adjoint Grassmannians in classical types”, Compositio Math., 157:6 (2021), 1172–1206	8 ^[x]
23.	A. Kuznetsov, A. Perry, “Homological projective duality for quadrics”, Journal of Algebraic Geometry, 30:3 (2021), 457-476	5 ^[x]

2020
24.	Olivier Debarre, Alexander Kuznetsov, “Double covers of quadratic degeneracy and Lagrangian intersection loci”, Math. Ann., 378:3 (2020), 1435–1469	10 ^[x]
25.	Alexander Kuznetsov, Maxim Smirnov, “On residual categories for Grassmannians”, Proc. London Math. Soc. (3), 120:5 (2020), 617–641	17 ^[x]
26.	Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: moduli”, Int. J. Math., 31:2 (2020), 2050013, 59 pp.	19 ^[x]
27.	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	4 ^[x]
28.	Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: intermediate Jacobians”, Épijournal de Géom. Algébr., EPIGA, 4 (2020), 6475, 45 pp., arXiv: 2002.05620

2019
29.	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	7 ^[x]
30.	Alexander Kuznetsov, “Calabi-Yau and fractional Calabi-Yau categories”, J. Reine Angew. Math., 753 (2019), 239–267, arXiv: 1509.07657	52 ^[x]
31.	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	7 ^[x]
32.	Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: linear spaces and periods”, Kyoto J. Math., 59:4 (2019), 897-953	25 ^[x]

2018
33.	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	4 ^[x]
34.	Anton Fonarev, Alexander Kuznetsov, “Derived categories of curves as components of Fano manifolds”, J. London Math. Soc., 97:1 (2018), 24–46	23 ^[x]
35.	Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: Classification and birationalities”, Algebr. Geom., 5:1 (2018), 15–74	16 ^[x]
36.	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	75 ^[x]
37.	А. Г. Кузнецов, “О линейных сечениях спинорного 10-мерного многообразия, I”, Изв. РАН. Сер. матем., 82:4 (2018), 53–114 ; A. G. Kuznetsov, “On linear sections of the spinor tenfold. I”, Izv. Math., 82:4 (2018), 694–751	19 ^[x]
38.	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
39.	Alexander Kuznetsov, Alexander Perry, “Derived categories of Gushel–Mukai varieties”, Compositio Math., 154:7 (2018), 1362–1406	37 ^[x]
40.	А. Г. Кузнецов, “Письмо в редакцию”, Изв. РАН. Сер. матем., 82:5 (2018), 227–228
41.	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	20 ^[x]
42.	Alexander Kuznetsov, “Derived equivalence of Ito–Miura–Okawa–Ueda Calabi-Yau 3-folds”, J. Math. Soc. Japan, 70:3 (2018), 1007–1013	15 ^[x]

2017
43.	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	21 ^[x]
44.	А. Г. Кузнецов, “Исключительные наборы в поверхностноподобных категориях”, Матем. сб., 208:9 (2017), 116–147 ; A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398	6 ^[x]

2016
45.	Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574, arXiv: 1110.5607	24 ^[x]
46.	O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: linear spaces and periods, 2016, arXiv: 1605.05648
47.	Alexander Kuznetsov, “Küchle fivefolds of type c5”, Math. Z., 284:3 (2016), 1245–1278, arXiv: 1603.03161	21 ^[x]
48.	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
49.	Alexander Kuznetsov, “Derived Categories View on Rationality Problems”, Lecture Notes in Comput. Sci., 2172, 2016, 67–104, arXiv: 1509.09115	34 ^[x]

2015
50.	C. Ingalls, A. Kuznetsov, “On nodal Enriques surfaces and quartic double solids”, Math. Ann., 361:2 (2015), 107–133	10 ^[x]
51.	А. Г. Кузнецов, “О многообразиях Кюхле с числом Пикара большим 1”, Изв. РАН. Сер. матем., 79:4 (2015), 57–70 ; A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709	20 ^[x]
52.	Alexander Kuznetsov, Valery A. Lunts, “Categorical resolutions of irrational singularities”, Int. Math. Res. Not. IMRN, 2015:13 (2015), 4536–4625	51 ^[x]
53.	Alexander Kuznetsov, “Height of exceptional collections and Hochschild cohomology of quasiphantom categories”, J. Reine Angew. Math., 708 (2015), 213–243, arXiv: 1211.4693	18 ^[x]
54.	O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015, arXiv: 1510.05448
55.	D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732

2014
56.	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
57.	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	13 ^[x]
58.	D. Kaledin, A. Kuznetsov, Refined blowups, 2014, 15 pp., arXiv: 1410.7121

2013
59.	A. Kuznetsov, A simple counterexample to the Jordan-Hölder property for derived categories, 2013, 5 pp., arXiv: 1304.0903

2012
60.	A. Kuznetsov, “Instanton bundles on Fano threefolds”, Cent. Eur. J. Math., 10:4 (2012), 1198–1231	39 ^[x]

2011
61.	A. Kuznetsov, “Base change for semiorthogonal decompositions”, Compos. Math., 147:3 (2011), 852–876	69 ^[x]

2010
62.	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	106 ^[x]
63.	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	4 ^[x]

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