A. G. Kuznetsov, Yu. G. Prokhorov, “One-nodal Fano threefolds with Picard number one”, Izv. RAN. Ser. Mat. (to appear)
2024
2.
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;
Alexander Kuznetsov, “Quadric bundles and hyperbolic equivalence”, Geom. Topol., 28:3 (2024), 1287–1339 , arXiv: 2108.01546;
2023
5.
Izv. Math., 87:3 (2023), 488–561
6.
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;
A. G. Kuznetsov, “Yavnaya deformatsiya orisfericheskogo mnogoobraziya tipa $\mathrm{G}_2$”, Matem. sb., 214:8 (2023), 63–73;
8.
Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Fano threefolds over non-closed fields”, Amer. J. Math., 145:2 (2023), 335–411 , arXiv: 1911.08949;
Alexander Kuznetsov, Alexander Perry, “Categorical cones and quadratic homological projective duality”, Annales de l'ENS, 56:1 (2023), 1–57 , arXiv: 1902.09824;
A. G. Kuznetsov, D. O. Orlov, N. A. Tyurin, A. L. Gorodentsev, “Collective obituary. Sergey A. Kuleshov (24.12.1962 – 15.05.2021)”, Math. Ed., 2021, no. 2(98), 2–4
15.
Alexander Kuznetsov, Yuri Prokhorov, “Rationality of Mukai varieties over non-closed fields”, Rationality of Varieties, Prog. Math., 342, Birkhäuser, Cham, 2021, 249–290;
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;
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
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
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
A. G. Kuznetsov, “On linear sections of the spinor tenfold. I”, Izv. Math., 82:4 (2018), 694–751
32.
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
33.
Alexander Kuznetsov, Alexander Perry, “Derived categories of Gushel–Mukai varieties”, Compositio Math., 154:7 (2018), 1362–1406
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
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
A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398
2016
39.
Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574 , arXiv: 1110.5607
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
43.
Alexander Kuznetsov, “Derived Categories View on Rationality Problems”, Lecture Notes in Comput. Sci., 2172, 2016, 67–104 , arXiv: 1509.09115
Alexander Kuznetsov, “Height of exceptional collections and Hochschild cohomology of quasiphantom categories”, J. Reine Angew. Math., 708 (2015), 213–243 , arXiv: 1211.4693
O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015 , arXiv: 1510.05448
49.
D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732
2014
50.
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
51.
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
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
A. G. Kuznetsov, “Derived Categories of Fano Threefolds”, Proc. Steklov Inst. Math., 264 (2009), 110–122
61.
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
2008
62.
A. Kuznetsov, “Exceptional collections for Grassmannians of isotropic lines”, Proc. Lond. Math. Soc. (3), 97:1 (2008), 155–182
A. G. Kuznetsov, “Hyperplane sections and derived categories”, Izv. Math., 70:3 (2006), 447–547
68.
A. Kuznetsov, Homological projective duality for Grassmannians of lines, 2006 , arXiv: 0610957
2005
69.
A. G. Kuznetsov, “Derived Categories of Fano Threefolds $V_{12}$”, Math. Notes, 78:4 (2005), 537–550
2004
70.
A. G. Kuznetsov, “Derived Categories of Cubic and $V_{14}$”, Proc. Steklov Inst. Math., 246 (2004), 171–194
2003
71.
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
M. Finkelberg, A. Kuznetsov, “Parabolic sheaves on surfaces and affine Lie algebra $\widehat{\mathfrak{gl}}_n$”, J. Reine Angew. Math., 529 (2000), 155–203
1999
76.
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
77.
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
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
79.
A. Kuznetsov, “Laumon's resolution of Drinfel'd's compactification is small”, Math. Res. Lett., 4:2-3 (1997), 349–364
Categorical absorption of singularities Alexander Kuznetsov Birational Geometry and Quantum Invariants. Simons Center for Geometry and Physics. 30 Oct.–3 Nov. 2023 November 2, 2023 09:30
Поверхности дель Пеццо. Семинар 4 A. G. Kuznetsov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 29, 2022 15:30
21.
Поверхности дель Пеццо. Семинар 3 A. G. Kuznetsov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 28, 2022 15:30
22.
Поверхности дель Пеццо. Семинар 2 A. G. Kuznetsov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 26, 2022 09:30
23.
Поверхности дель Пеццо. Семинар 1 A. G. Kuznetsov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 25, 2022 15:30
24.
Категорные джойны A. G. Kuznetsov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021 November 24, 2021 17:00
25.
Quantum cohomology and derived categories A. G. Kuznetsov International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin November 18, 2021 12:10
On Kuchle varieties A. G. Kuznetsov One-day conference dedicated to 50-anniversary of Yu. G. Prokhorov April 4, 2014 12:00
79.
Higher blow-ups A. G. Kuznetsov International conference "Geometry of Algebraic Varieties" dedicated to the memory of V. A. Iskovskikh October 23, 2013 12:15
Homological projective duality A. G. Kuznetsov International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes" September 11, 2012 15:10
Lines on a cubic surface A. G. Kuznetsov Summer School "Contemporary Mathematics", 2010 July 25, 2010 12:45
100.
Exceptional collections over isotropic Grassmanians A. G. Kuznetsov International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin February 24, 2010 14:00
Derived categories of Fano 3-folds A. G. Kuznetsov International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh July 3, 2009 14:00
2024
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