|
Authors |
Title |
Reference |
[89] |
O. Debarre, A. Kuznetsov |
Quadrics on Gushel--Mukai varieties |
preprint math.AG/2409.03528 |
[88] |
A. Bayer, A. Kuznetsov, E. Macrì |
Mukai bundles on Fano threefolds |
preprint math.AG/2402.07154 |
[87] |
A. Kuznetsov, E. Shinder |
Derived categories of Fano threefolds and degenerations |
preprint math.AG/2305.17213 |
[86] |
A. Kuznetsov, A. Perry |
Serre functors and dimensions of residual categories |
preprint math.AG/2109.02026 |
[85] |
A. Kuznetsov, Yu. Prokhorov |
One-nodal Fano threefolds with Picard number one |
preprint math.AG/2312.13782, to appear in Izvestiya RAN |
[84] |
A. Kuznetsov, E. Shinder |
Homologically finite-dimensional objects in triangulated categories |
preprint math.AG/2211.09418, to appear in Selecta Math. |
[83] |
A. Kuznetsov |
Derived categories of families of Fano threefolds |
preprint math.AG/2202.12345, to appear in Algebraic Geometry |
[82] |
J.-L. Colliot-Thélène, A. Kuznetsov |
Retour sur l’arithmétique des intersections de deux quadriques |
J. Reine Angew. Math. 806 (2024) 147--185
|
[81] |
A. Kuznetsov |
Quadric bundles and hyperbolic equivalence |
Geometry & Topology 28 (2024) 1287--1339 |
[80] |
A. Kuznetsov, Yu. Prokhorov |
Rationality over non-closed fields of Fano threefolds with higher geometric Picard rank |
JIMJ, Volume 23 (2024) Issue 1, 207-247 |
[79] |
A. Kuznetsov, E. Shinder |
Categorical absorptions of singularities and degenerations |
EPIGA, Volume spécial en l'honneur de Claire Voisin, 2024 |
[78] |
A. Kuznetsov |
Explicit deformation of the horospherical variety of type G2 |
Math. Sb., 214:8, 1111-1120 (2023)
|
[77] |
A. Kuznetsov, Yu. Prokhorov |
On higher-dimensional del Pezzo varieties |
Izv. RAN. Ser. Mat., 87:3, 488-561 (2023) |
[76] |
A. Kuznetsov, Yu. Prokhorov |
Rationality of Fano threefolds over non-closed fields |
AJM 145, No. 2, 335-411 (2023) |
[75] |
A. Kuznetsov, A. Perry |
Categorical cones and quadratic homological projective duality |
ASENS (4) 56 (2023), no. 1, 1-57 |
[74] |
P. Belmans, A. Kuznetsov, M. Smirnov |
Derived categories of the Cayley plane and the coadjoint Grassmannian of type F |
Transformation Groups 28 (2023), pp. 9-34
|
[73] |
A. Kuznetsov |
Semiorthogonal decompositions in families |
preprint math.AG/2111.00527, Proceedings of ICM-2022 |
[72] |
A. Kuznetsov |
Simultaneous categorical resolutions |
Math. Zeitschrift 300 (2022), pp. 3551-3576
|
[71] |
J. Karmazyn, A. Kuznetsov, E. Shinder |
Derived categories of singular surfaces |
JEMS 24 (2022), no. 2, pp. 461-526
|
[70] |
A. Kuznetsov, Yu. Prokhorov |
Rationality of Mukai varieties over non-closed fields |
"Rationality of Varieties",
Series: Progress in Mathematics, Vol. 342,
Farkas, G; van der Geer, G.; Shen, M; Taelman, L (Eds.) 2021.
|
[69] |
A. Kuznetsov, M. Smirnov |
Residual categories for (co)adjoint Grassmannians in classical types |
Compositio Mathematica, 157 (2021), no. 6, 1172-1206
|
[68] |
A. Kuznetsov, A. Perry |
Homological projective duality for quadrics |
JAG 30 (2021), p. 457-476
|
[67] |
A. Kuznetsov |
Derived categories of families of sextic del Pezzo surfaces |
IMRN (2021), no. 12, p. 9262-9339
|
[66] |
A. Kuznetsov, A. Perry |
Categorical joins |
JAMS 34 (2021), 505-564 |
[65] |
O. Debarre, A. Kuznetsov |
Gushel-Mukai varieties: intermediate Jacobians |
EpiGA, epiga:6475 (2020), Volume 4 |
[64] |
O. Debarre, A. Kuznetsov |
Double covers of quadratic degeneracy and Lagrangian intersection loci |
Math. Annalen 378 (2020), no. 3, 1435-1469
|
[63] |
O. Debarre, A. Kuznetsov |
Gushel-Mukai varieties: moduli |
Int. Journal of Math. 31 (2020), no. 2, 2050013 |
[62] |
I. Cheltsov, A. Kuznetsov, C. Shramov |
Coble fourfold, S6-invariant quartic threefolds, and Wiman--Edge sextics |
Algebra Number Theory 14 (2020), no. 1, 213-274 |
[61] |
A. Kuznetsov, M. Smirnov |
On residual categories for Grassmannians |
Proc. London Math. Soc. 120 (2020), 617-641. |
[60] |
O. Debarre, A. Kuznetsov |
Gushel-Mukai varieties: linear spaces and periods |
Kyoto Journal of Math. Volume 59, Number 4 (2019), 897-953. |
[59] |
A. Kuznetsov |
Calabi-Yau and fractional Calabi-Yau categories |
J. Reine Angew. Math. 753 (2019), 239--267. |
[58] |
A. Kuznetsov |
Embedding derived categories of Enriques surfaces in derived categories of Fano varieties |
Izvestiya: Mathematics (2019), 83 (3):534--539 |
[57] |
J.A. Cruz Morales, A. Kuznetsov, A. Mellit, N. Perrin, M. Smirnov |
On quantum cohomology of Grassmannians of isotropic lines, unfoldings of An-singularities, and Lefschetz exceptional collections |
Annales de l'Institut Fourier, Volume 69 (2019) no. 3, p. 955--991 |
[56] |
A. Kuznetsov |
On linear sections of the spinor tenfold, I |
Izvestiya: Mathematics 82:4 (2018) pp. 694--751 |
[55] |
A. Kuznetsov, E. Shinder |
Grothendieck ring of varieties, D- and L-equivalence, and families of quadrics |
Selecta Math, V. 24 (2018), No. 4, pp. 3475--3500 |
[54] |
A. Kuznetsov, Yu. Prokhorov |
Prime Fano threefolds of genus 12 with a Gm-action |
Épijournal de Géométrie Algébrique, V. 2 (2018), Article 3 |
[53] |
A. Kuznetsov |
Derived equivalence of Ito-Miura-Okawa-Ueda Calabi-Yau 3-folds |
JMSJ, V. 70 (2018), No. 3, pp. 1007--1013 |
[52] |
A. Kuznetsov, A. Perry |
Derived categories of Gushel-Mukai varieties |
Compositio Mathematica, V. 154 (2018), N. 7, pp. 1362--1406 |
[51] |
A. Kuznetsov, Yu. Prokhorov, C. Shramov |
Hilbert schemes of lines and conics and automorphism groups of Fano threefolds |
Japanese Journal of Mathematics, V. 13 (2018), N. 1, pp. 109-185 |
[50] |
M. Finkelberg, A. Kuznetsov, L. Rybnikov, G. Dobrovolska |
Towards a cluster structure on trigonometric zastava |
Selecta Math, V. 24 (2018), N. 1, pp. 187-225. |
[49] |
A. Fonarev, A. Kuznetsov |
Derived categories of curves as components of Fano manifolds |
Journal of the LMS, V. 97 (2018), N. 1, pp. 24-46.
|
[48] |
O. Debarre, A. Kuznetsov |
Gushel-Mukai varieties: classification and birationalities |
Algebraic Geometry, V. 5 (2018), N. 1, pp. 15--76. |
[47] |
A. Kuznetsov |
Exceptional collections in surface-like categories |
Sbornik: Mathematics, V. 208 (2017), N. 9, pp. 1368--1398. |
[46] |
A. Kuznetsov, A. Perry |
Derived categories of cyclic covers and their branch divisors |
Selecta Math, V. 23 (2017), N. 1, pp. 389--423 |
[45] |
A. Kuznetsov |
Derived categories view on rationality problems |
"Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015",
Pardini, Rita and Pirola, Gian Pietro (Eds.)
2016, ISBN: 978-3-319-46209-7
Springer International Publishing |
[44] |
O. Debarre, A. Kuznetsov |
On the cohomology of Gushel-Mukai sixfolds |
preprint math.AG/1606.09384 |
[43] |
A. Kuznetsov |
Küchle fivefolds of type c5 |
Math. Zeitschrift, V. 284 (2016), N. 3, pp 1245--1278 |
[42] |
M. Finkelberg, V. Ginzburg, A. Ionov, A. Kuznetsov |
Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space |
Selecta Math., V. 22 (2016), N. 4, pp 2491-2534 |
[41] |
A. Kuznetsov, A. Polishchuk |
Exceptional collections on isotropic Grassmannians |
J. Eur. Math. Soc. (JEMS) 18 (2016), no. 3, 507--574 |
[40] |
A. Kuznetsov |
On Küchle manifolds with Picard number greater than 1 |
Izvestiya RAN: Ser. Mat. 79:4 (2015) p. 57-70 (in Russian); translation in Izvestiya: Mathematics 79:4 (2015) p. 698-709 |
[39] |
D. Kaledin, A. Kuznetsov |
Refined blowups |
Mathematical Research Letters, Volume 22, Number 6, 1717–1732, 2015 |
[38] |
A. Kuznetsov, V. Lunts |
Categorical resolutions of irrational singularities |
International Mathematical Research Notices 2015, No. 13, p. 4536-4625 |
[37] |
A. Kuznetsov |
Height of exceptional collections and Hochschild cohomology of quasiphantom categories |
J. Reine Angew. Math. 708 (2015), 213--243 |
[36] |
C. Ingalls, A. Kuznetsov |
On nodal Enriques surfaces and quartic double solids |
Mathematische Annalen, Volume 361, Issue 1--2 (2015), pp 107--133. |
[35] |
A. Kuznetsov |
Semiorthogonal decompositions in algebraic geometry |
preprint math.AG/1404.3143, Proceedings of ICM-2014 |
[34] |
A. Kuznetsov |
Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category |
Math. Zeitschrift, Volume 276, Issue 3 (2014), Page 655-672. |
[33] |
A. Kuznetsov |
A simple counterexample to the Jordan-Hölder property for derived categories |
preprint math.AG/1304.0903 |
[32] |
A. Kuznetsov |
Instanton bundles on Fano threefolds |
CEJM 2012, 10(4), 1198-1231 |
[31] |
A. Kuznetsov |
Base change for semiorthogonal decompositions |
Compositio Mathematica / Volume 147 / Issue 03, (2011) pp 852 - 876,
preprint math.AG/0711.1734 |
[30] |
A. Kuznetsov |
Derived categories of cubic fourfolds |
"Cohomological and Geometric Approaches to Rationality
Problems. New Perspectives" Series: Progress in Mathematics,
Vol. 282, Bogomolov, Fedor; Tschinkel, Yuri (Eds.)
2010, X, 314 p. 47 illus., Hardcover ISBN: 978-0-8176-4933-3
A Birkhauser book |
[29] |
A. Kuznetsov, L. Manivel and D. Markushevich |
Abel-Jacobi maps for hypersurfaces and non commutative Calabi-Yau's |
Communications in Contemporary Mathematics Vol. 12, No. 3 (2010) 373-416 |
[28] |
A. Kuznetsov |
Hochschild homology and semiorthogonal decompositions |
preprint math.AG/0904.4330 |
[27] |
A. Kuznetsov |
Derived categories of Fano threefolds |
Proc. V.A.Steklov Inst. Math, V. 264 (2009), p. 110-122 |
[26] |
A. Kuznetsov and D. Markushevich |
Symplectic structures on moduli spaces of sheaves via the Atiyah class |
Journal of Geometry and Physics, V. 59 (2009) N. 7, 843-860 |
[25] |
A. Kuznetsov |
Homological projective duality for Grassmannians of lines |
preprint math.AG/0610957 |
[24] |
A. Kuznetsov |
Lefschetz decompositions and categorical resolutions of singularities |
Selecta Mathematica, V. 13 (2008), N. 4, 661-696 |
[23] |
A. Kuznetsov |
Exceptional collections for Grassmannians of isotropic lines |
Proceedings of the London Mathematical Society, V. 97 (2008), N. 1, 155-182 |
[22] |
A. Kuznetsov |
Derived categories of quadric fibrations and intersections of quadrics |
Advances in Mathematics, V. 218 (2008), N. 5, 1340-1369 |
[21] |
A. Kuznetsov |
Homological projective duality |
Publications Mathematiques de L'IHES, 105, n. 1 (2007), 157-220 |
[20] |
A. Kuznetsov |
Quiver varieties and Hilbert schemes |
Moscow Mathematical Journal, Volume 7 (2007), Number 4 |
[19] |
A. Kuznetsov |
Hyperplane sections and derived categories |
Izvestiya RAN: Ser. Mat. 70:3 (2006) p. 23-128 (in Russian);
translation in Izvestiya: Mathematics 70:3 (2006) p. 447-547. |
[18] |
A. Kuznetsov |
Derived categories of Fano threefolds V12 |
Mat. zametki, V. 78, n. 4 (2005), p. 579-594,
translation in Mathematical Notes, V. 78, n. 4 (2005), p. 537-550 |
[17] |
A. Kuznetsov |
Derived categories of cubic and V14 threefolds |
Proc. V.A.Steklov Inst. Math, V. 246 (2004), p. 183-207 |
[16] |
V. Baranovsky, V. Ginzburg and A. Kuznetsov |
Wilson's grassmanian and a noncommutative quadric |
International Mathematical Research Notices, 2003, No. 21, p. 1155-1197 |
[15] |
M. Finkelberg, D. Gaitsgory, A. Kuznetsov |
Uhlenbeck spaces for A2 and affine Lie algebra \hat{sl}_n |
Publ. Res. Inst. Math. Sci., V. 39 (2003), No. 4, p. 721-766 |
[14] |
V. Baranovsky, V. Ginzburg and A. Kuznetsov |
Quiver varieties and a noncommutative P2 |
Compositio Mathematica, 2002, V. 134, p. 283-318 |
[13] |
A. Kapustin, A. Kuznetsov and D. Orlov |
Noncommutative instantons and twistor transform |
Communications in Mathematical Physics, 2001, No. 220, p. 385-432 |
[12] |
M. Finkelberg and A. Kuznetsov |
Parabolic sheaves on surfaces and affine Lie algebra \hat{gl}_n |
J. reine angew. Math., 2000, V. 529, p. 155-203 |
[11'] |
|
Erratum to: A note on a simplectic structure on the space of G-monopoles |
Communications in Mathematical Physics, 2015, Volume 334, Issue 2, pp 1153-1155 |
[11] |
M. Finkelberg, A. Kuznetsov, N. Markarian and I. Mirkovic |
A note on a simplectic structure on the space of G-monopoles |
Communications in Mathematical Physics, 1999, No. 201, p. 411-421 |
[10] |
B. Feigin, M. Finkelberg, A. Kuznetsov and I. Mirkovic |
Semi-Infinite flags II. Local and global intersection cohomology
of quasimaps' spaces |
Differential topology, infinite-dimensional Lie algebras, and
applications, p. 113-148, Amer. Math. Soc. Transl. Ser. 2, 194,
Amer. Math. Soc., Providence, RI, 1999 |
[9] |
M. Finkelberg, A. Kuznetsov and I. Mirkovic |
The singular supports of IC sheaves
on quasimaps' spaces are irreducible |
American Mathematical Society Translations,
Series 2, 1998, V. 185, p. 85-93 |
[8] |
A. Kuznetsov |
Fano threefolds V22 |
preprint MPIM/97-24 |
[7] |
A. Kuznetsov |
The length 2 monad for instantons over P3 with c2 = 3 |
preprint MPIM/97-22 |
[6] |
A. Kuznetsov |
GL4-equivariant desingularization
of the universal curve over the Ellingsrud-Piene-Stromme
compactiffcation of the space of twisted rational cubic
curves in P3 |
preprint MPIM/97-21 |
[5] |
M. Finkelberg and A. Kuznetsov |
Global intersection cohomology of quasimaps' spaces |
International Mathematical Research Notices, 1997, No. 7, p. 301-328 |
[4] |
A. Kuznetsov |
The Laumon's resolution of Drinfeld's compactification is small |
Mathematical Research Letters, 1997, V. 4, p. 349-364. |
[3] |
A. Kuznetsov |
An exceptional collection of vector bundles
on V22 Fano threefolds |
Vestnik MGU, Ser. 1, Mat. Mekh. 1996, no. 3, p. 41-44 (in Russian) |
[2] |
A. Kuznetsov, I. Pak and A. Postnikov |
Trees associated with Motzkin numbers |
J. Combin. Theory Ser. A, 1996, V. 76, no. 1, p. 145-147 |
[1] |
A. Kuznetsov, I. Pak and A. Postnikov |
Increasing trees and alternating permutations |
Uspehi Matem. Nauk, 1994, V. 49, no. 6, p. 79-110 |