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Kuznetsov Alexander Gennad'evich
(recent publications)
| by years | scientific publications | by types |



   2021
1. Alexander Kuznetsov, Alexander Perry, “Categorical joins”, J. Am. Math. Soc., 34 (2021), 505–564  mathnet  crossref  isi (cited: 1);
2. Alexander Kuznetsov, “Derived categories of families of sextic del Pezzo surfaces”, Int. Math. Res. Not. IMRN, 2021:12 (2021), 9262–9339  mathnet  crossref;
3. 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  mathnet

   2020
4. Olivier Debarre, Alexander Kuznetsov, “Double covers of quadratic degeneracy and Lagrangian intersection loci”, Math. Ann., 378:3 (2020), 1435–1469  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 3)
5. Alexander Kuznetsov, Maxim Smirnov, “On residual categories for Grassmannians”, Proc. London Math. Soc. (3), 120:5 (2020), 617–641  mathnet  crossref  mathscinet  isi (cited: 5)  scopus (cited: 4);
6. Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: moduli”, Int. J. Math., 31:2 (2020), 2050013 , 59 pp.  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 5);
7. 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  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1);
8. Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: intermediate Jacobians”, Épijournal de Géom. Algébr., EPIGA, 4 (2020), 6475 , 45 pp., arXiv: 2002.05620  mathnet  isi (cited: 1);

   2019
9. A. G. Kuznetsov, “Embedding derived categories of Enriques surfaces in derived categories of Fano varieties”, Izv. Math., 83:3 (2019), 534–539  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib  scopus (cited: 2)
10. Alexander Kuznetsov, “Calabi-Yau and fractional Calabi-Yau categories”, J. Reine Angew. Math., 753 (2019), 239–267 , arXiv: 1509.07657  mathnet  crossref  mathscinet  zmath  isi (cited: 19)  scopus (cited: 18)
11. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 165)  isi (cited: 165)  scopus (cited: 4)
12. Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: linear spaces and periods”, Kyoto J. Math., 59:4 (2019), 897-953  mathnet  crossref  crossref  mathscinet  isi (cited: 10)  scopus (cited: 9)

   2018
13. 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  mathnet  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 5)
14. Anton Fonarev, Alexander Kuznetsov, “Derived categories of curves as components of Fano manifolds”, J. London Math. Soc., 97:1 (2018), 24–46  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 7)
15. Olivier Debarre, Alexander Kuznetsov, “Gushel–Mukai varieties: Classification and birationalities”, Algebr. Geom., 5:1 (2018), 15–74  mathnet  crossref  mathscinet  isi (cited: 23)  scopus (cited: 23)
16. 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  mathnet  crossref  mathscinet  isi (cited: 23)  scopus (cited: 21)
17. A. G. Kuznetsov, “On linear sections of the spinor tenfold. I”, Izv. Math., 82:4 (2018), 694–751  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib  scopus (cited: 4)
18. 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  mathnet  mathscinet  isi (cited: 2)
19. Alexander Kuznetsov, Alexander Perry, “Derived categories of Gushel–Mukai varieties”, Compositio Math., 154:7 (2018), 1362–1406  mathnet  crossref  mathscinet  isi (cited: 15)  scopus (cited: 14)
20. A. G. Kuznetsov, Izv. RAN. Ser. Mat., 82:5 (2018)  mathnet  crossref  mathscinet  elib
21. 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  mathnet  crossref  mathscinet  isi (cited: 10)  scopus (cited: 9)
22. Alexander Kuznetsov, “Derived equivalence of Ito–Miura–Okawa–Ueda Calabi-Yau 3-folds”, J. Math. Soc. Japan, 70:3 (2018), 1007–1013  mathnet  crossref  mathscinet  isi (cited: 6)  scopus (cited: 5)

   2017
23. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib  scopus (cited: 10)
24. A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)

   2016
25. Alexander Kuznetsov, Alexander Polishchuk, “Exceptional collections on isotropic Grassmannians”, J. Eur. Math. Soc. (JEMS), 18:3 (2016), 507–574 , arXiv: 1110.5607  mathnet  crossref  mathscinet  zmath  isi (cited: 10)  elib  scopus (cited: 10)
26. O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: linear spaces and periods, 2016 , arXiv: 1605.05648
27. Alexander Kuznetsov, “Küchle fivefolds of type c5”, Math. Z., 284:3 (2016), 1245–1278 , arXiv: 1603.03161  mathnet  crossref  mathscinet  zmath  isi (cited: 19)  elib  scopus (cited: 19)
28. 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  mathnet  crossref  mathscinet  isi  elib  scopus (cited: 1)
29. Alexander Kuznetsov, “Derived Categories View on Rationality Problems”, Lecture Notes in Comput. Sci., 2172, 2016, 67–104 , arXiv: 1509.09115  mathnet  crossref  mathscinet  isi (cited: 18)  scopus (cited: 19)

   2015
30. C. Ingalls, A. Kuznetsov, “On nodal Enriques surfaces and quartic double solids”, Math. Ann., 361:2 (2015), 107–133  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus
31. A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 14)  elib  elib  scopus (cited: 9)
32. Alexander Kuznetsov, Valery A. Lunts, “Categorical resolutions of irrational singularities”, Int. Math. Res. Not. IMRN, 2015:13 (2015), 4536–4625  mathnet (cited: 5)  crossref  mathscinet  zmath  isi (cited: 29)  elib (cited: 2)  scopus (cited: 24)
33. Alexander Kuznetsov, “Height of exceptional collections and Hochschild cohomology of quasiphantom categories”, J. Reine Angew. Math., 708 (2015), 213–243 , arXiv: 1211.4693  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 14)  elib (cited: 1)  scopus (cited: 15)
34. O. Debarre, A. Kuznetsov, Gushel–Mukai varieties: classification and birationalities, 2015 , arXiv: 1510.05448
35. D. Kaledin, A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717–1732  mathnet  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)

   2014
36. 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  zmath
37. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 3)  scopus (cited: 7)
38. D. Kaledin, A. Kuznetsov, Refined blowups, 2014 , 15 pp., arXiv: 1410.7121  zmath

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

   2012
40. A. Kuznetsov, “Instanton bundles on Fano threefolds”, Cent. Eur. J. Math., 10:4 (2012), 1198–1231  mathnet  crossref  mathscinet  zmath  isi (cited: 20)  elib (cited: 5)  scopus (cited: 23)

   2011
41. A. Kuznetsov, “Base change for semiorthogonal decompositions”, Compos. Math., 147:3 (2011), 852–876  crossref  mathscinet  zmath  isi (cited: 39)  elib (cited: 9)  scopus (cited: 37)

   2010
42. 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  crossref  mathscinet  zmath  adsnasa  elib  scopus (cited: 88)
43. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 2)  scopus (cited: 5)


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