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Advances in Mathematics, 2016, Volume 302, Pages 59–105
DOI: https://doi.org/10.1016/j.aim.2016.07.014
(Mi admat6)
 

This article is cited in 54 scientific papers (total in 54 papers)

Smooth and proper noncommutative schemes and gluing of DG categories

Dmitri Orlov

Algebraic Geometry Section, Steklov Math. Institute RAS, 8 Gubkin str., Moscow 119991, Russia
Citations (54)
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 14.01.2016
Revised: 04.05.2016
Accepted: 16.07.2016
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/admat6
  • This publication is cited in the following 54 articles:
    1. Michael K. Brown, Prashanth Sridhar, “Orlov's theorem for dg-algebras”, Advances in Mathematics, 460 (2025), 110035  crossref
    2. Andreas Krug, Erik Nikolov, “Endomorphism Algebras of Equivariant Exceptional Collections”, Algebr Represent Theor, 2025  crossref
    3. Alexander Kuznetsov, Evgeny Shinder, “Homologically finite-dimensional objects in triangulated categories”, Sel. Math. New Ser., 31:2 (2025)  crossref
    4. Christian Böhning, Hans-Christian Graf von Bothmer, Yuri Tschinkel, “Equivariant birational geometry of cubic fourfolds and derived categories”, Advances in Mathematics, 469 (2025), 110249  crossref
    5. Eleonore Faber, Colin Ingalls, Shinnosuke Okawa, Matthew Satriano, “On stacky surfaces and noncommutative surfaces”, Trans. Amer. Math. Soc., 2025  crossref
    6. Vladimir Sosnilo, “𝔸1-invariance of localizing invariants”, Ann. K-Th., 9:1 (2024), 89  crossref
    7. Dmitrii Pirozhkov, “A categorical Torelli theorem for hypersurfaces”, Bulletin of London Math Soc, 2024  crossref
    8. Dmitri Orlov, “Twisted tensor product, smooth DG algebras, and noncommutative resolutions of singular curves”, Funct. Anal. Appl., 58:4 (2024), 384–408  mathnet  crossref  crossref
    9. Adam Gyenge, “A power structure over the Grothendieck ring of geometric dg categories”, Proceedings of the Edinburgh Mathematical Society, 2024, 1  crossref
    10. Russian Math. Surveys, 78:5 (2023), 853–880  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    11. Saša Novaković, “Ulrich bundles on Brauer–Severi varieties”, Proc. Amer. Math. Soc., 152:1 (2023), 7  crossref
    12. Robert Burklund, Ishan Levy, “On the K-theory of regular coconnective rings”, Sel. Math. New Ser., 29:2 (2023)  crossref
    13. Jesse Burke, Amnon Neeman, Bregje Pauwels, “Gluing approximable triangulated categories”, Forum of Mathematics, Sigma, 11 (2023)  crossref
    14. Michael K. Brown, Mark E. Walker, “Idempotent completions of equivariant matrix factorization categories”, Journal of Algebra, 634 (2023), 554  crossref
    15. Eric Rains, Contemporary Mathematics, 780, Hypergeometry, Integrability and Lie Theory, 2022, 95  crossref
    16. Theo Raedschelders, Greg Stevenson, “Proper connective differential graded algebras and their geometric realizations”, European Journal of Mathematics, 8:S2 (2022), 574  crossref
    17. Theo Raedschelders, Alice Rizzardo, Michel Van den Bergh, “New examples of non-Fourier–Mukai functors”, Compositio Math., 158:6 (2022), 1254  crossref
    18. Gonçalo Tabuada, “Noncommutative Weil conjecture”, Advances in Mathematics, 404 (2022), 108385  crossref
    19. Gonçalo Tabuada, “Noncommutative Riemann hypothesis”, Proc. Amer. Math. Soc., 2022  crossref
    20. Alexey Elagin, “Calculating dimension of triangulated categories: Path algebras, their tensor powers and orbifold projective lines”, Journal of Algebra, 592 (2022), 357  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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