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ЖУРНАЛЫ // Mathematische Annalen

Math. Ann., 2013, том 75, выпуск 2, страницы 743–759 (Mi matan4)

Derived categories of Burniat surfaces and exceptional collections
V. Alexeev, D. Orlov

Эта публикация цитируется в следующих статьяx:
  1. Cho Yonghwa, “Counting h0(D) on primary Burniat surfaces”, Journal of Pure and Applied Algebra, 2026, 108230  crossref
  2. Kanetomo Sato, Takao Yamazaki, “TORSION BIRATIONAL MOTIVES OF SURFACES AND UNRAMIFIED COHOMOLOGY”, J. Inst. Math. Jussieu, 2025, 1  crossref
  3. Pat Lank, “Descent conditions for generation in derived categories”, Journal of Pure and Applied Algebra, 228:9 (2024), 107671  crossref
  4. Alexander Vishik, “Torsion Motives”, International Mathematics Research Notices, 2023:23 (2023), 20252  crossref
  5. Theo Raedschelders, Greg Stevenson, “Proper connective differential graded algebras and their geometric realizations”, European Journal of Mathematics, 8:S2 (2022), 574  crossref
  6. Ching-Jui Lai, Sai-Kee Yeung, “Exceptional Collection of Objects on Some Fake Projective Planes”, International Mathematics Research Notices, 2022:22 (2022), 17546  crossref
  7. 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
  8. Ajneet Dhillon, Ivan Kobyzev, “G-theory of root stacks and equivariant K-theory”, Ann. K-Th., 4:2 (2019), 151  crossref
  9. JongHae Keum, Kyoung-Seog Lee, “Examples of Mori dream surfaces of general type with p = 0”, Advances in Mathematics, 347 (2019), 708  crossref
  10. Shizhuo Zhang, “Applications of toric systems on surfaces”, Journal of Pure and Applied Algebra, 223:3 (2019), 1139  crossref
  11. Yonghwa Cho, Yongnam Lee, “Exceptional collections on Dolgachev surfaces associated with degenerations”, Advances in Mathematics, 324 (2018), 394  crossref
  12. Д. О. Орлов, “Производные некоммутативные схемы, геометрические реализации и конечномерные алгебры”, УМН, 73:5 (2018), 123–182  mathnet  crossref  isi  scopus; D. O. Orlov, “Derived noncommutative schemes, geometric realizations, and finite dimensional algebras”, Russian Math. Surveys, 73:5 (2018), 865–918  mathnet  crossref
  13. Kyoung-Seog Lee, Timofey Shabalin, “Exceptional collections on some fake quadrics”, Proc. Amer. Math. Soc., 146:6 (2018), 2299  crossref
  14. Charles Vial, “Exceptional collections, and the Néron–Severi lattice for surfaces”, Advances in Mathematics, 305 (2017), 895  crossref
  15. Hyun Kyu Kim, Yun-Hwan Kim, Kyoung-Seog Lee, “Quasiphantom categories on a family of surfaces isogenous to a higher product”, Journal of Algebra, 473 (2017), 591  crossref
  16. Asher Auel, Marcello Bernardara, Proceedings of Symposia in Pure Mathematics, 95, Surveys on Recent Developments in Algebraic Geometry, 2017, 199  crossref
  17. Kyoung-Seog Lee, “Exceptional sequences of maximal length on some surfaces isogenous to a higher product”, Journal of Algebra, 454 (2016), 308  crossref
  18. Kyoung-Seog Lee, “Derived categories of surfaces isogenous to a higher product”, Journal of Algebra, 441 (2015), 180  crossref
  19. Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman, Alberto Verjovsky, Contemporary Mathematics, 620, Algebraic Topology: Applications and New Directions, 2014, 223  crossref
  20. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349  mathnet  crossref  isi  scopus
  21. Christian Böhning, Hans-Christian Graf von Bothmer, Pawel Sosna, “On the derived category of the classical Godeaux surface”, Advances in Mathematics, 243 (2013), 203  crossref
  22. Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski, Birational Geometry, Rational Curves, and Arithmetic, 2013, 93  crossref


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