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Lecture Notes in Computer Science, 2016, Volume 2172, Pages 67–104
DOI: https://doi.org/10.1007/978-3-319-46209-7_3
(Mi lncs21)
 

This article is cited in 30 scientific papers (total in 30 papers)

Derived Categories View on Rationality Problems

Alexander Kuznetsovabc

a Algebraic Geometry Section, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b The Poncelet Laboratory, Independent University of Moscow, Moscow, Russia
c Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia
Citations (30)
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/lncs21
  • This publication is cited in the following 30 articles:
    1. Christian Böhning, Hans‐Christian Graf von Bothmer, Yuri Tschinkel, “Equivariant birational types and derived categories”, Mathematische Nachrichten, 2024  crossref
    2. Benjamin Sung, “Remarks on the Nodal quiver”, Journal of Algebra, 2024  crossref
    3. Giordano Cotti, Boris A. Dubrovin, Davide Guzzetti, Lecture Notes in Mathematics, 2356, Helix Structures in Quantum Cohomology of Fano Varieties, 2024, 79  crossref
    4. Alexander Kuznetsov, Evgeny Shinder, “Derived categories of Fano threefolds and degenerations”, Invent. math., 2024  crossref
    5. Chunyi Li, Laura Pertusi, Xiaolei Zhao, “Derived categories of hearts on Kuznetsov components”, Journal of London Math Soc, 108:6 (2023), 2146  crossref
    6. Warren Cattani, Franco Giovenzana, Shengxuan Liu, Pablo Magni, Luigi Martinelli, Laura Pertusi, Jieao Song, “Kernels of categorical resolutions of nodal singularities”, Rend. Circ. Mat. Palermo, II. Ser, 72:6 (2023), 3077  crossref
    7. Arend Bayer, Alexander Perry, “Kuznetsov's Fano threefold conjecture via K3 categories and enhanced group actions”, Journal für die reine und angewandte Mathematik (Crelles Journal), 2023  crossref
    8. Giovanni Staglianò, “Explicit Computations with Cubic Fourfolds, Gushel–Mukai Fourfolds, and their Associated K3 Surfaces”, Experimental Mathematics, 2023, 1  crossref
    9. Riccardo Moschetti, Marco Rampazzo, “Fullness of the Kuznetsov–Polishchuk Exceptional Collection for the Spinor Tenfold”, Algebr Represent Theor, 2023  crossref
    10. Laura Pertusi, Paolo Stellari, “Categorical Torelli theorems: results and open problems”, Rend. Circ. Mat. Palermo, II. Ser, 72:5 (2023), 2949  crossref
    11. Alexander Perry, “The integral Hodge conjecture for two-dimensional Calabi–Yau categories”, Compositio Math., 158:2 (2022), 287  crossref
    12. Pedro Núñez, “A note on semiorthogonal decompositions for Fano fibrations”, Geom Dedicata, 216:2 (2022)  crossref
    13. Robert Laterveer, “On the Chow ring of Fano varieties on the Fatighenti–Mongardi list”, Communications in Algebra, 50:1 (2022), 131  crossref
    14. Hanine Awada, Michele Bolognesi, Giovanni Staglianò, “Birational geometry of some universal families of n-pointed Fano fourfolds”, European Journal of Mathematics, 8:S1 (2022), 130  crossref
    15. Marcello BERNARDARA, “Categorical dimension of birational transformations and filtrations of Cremona groups”, J. Math. Soc. Japan, 73:3 (2021)  crossref
    16. Saša Novaković, “No phantoms in the derived category of curves over arbitrary fields, and derived characterizations of Brauer–Severi varieties”, J. Commut. Algebra, 13:2 (2021)  crossref
    17. Giovanni Staglianò, “Some New Rational Gushel Fourfolds”, Mediterr. J. Math., 18:5 (2021)  crossref
    18. Enrico Fatighenti, Giovanni Mongardi, “Fano Varieties of K3-Type and IHS Manifolds”, International Mathematics Research Notices, 2021:4 (2021), 3097  crossref
    19. Robert Laterveer, “Motives and the Pfaffian–Grassmannian equivalence”, J. London Math. Soc., 104:4 (2021), 1738  crossref
    20. Michael Hoff, Giovanni Staglianò, “New examples of rational Gushel-Mukai fourfolds”, Math. Z., 296:3-4 (2020), 1585  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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