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

Эта публикация цитируется в следующих статьяx:

1. Pat Lank, “Descent conditions for generation in derived categories”, Journal of Pure and Applied Algebra, 228:9 (2024), 107671  
2. Alexander Vishik, “Torsion Motives”, International Mathematics Research Notices, 2023:23 (2023), 20252  
3. Theo Raedschelders, Greg Stevenson, “Proper connective differential graded algebras and their geometric realizations”, European Journal of Mathematics, 8:S2 (2022), 574  
4. Ching-Jui Lai, Sai-Kee Yeung, “Exceptional Collection of Objects on Some Fake Projective Planes”, International Mathematics Research Notices, 2022:22 (2022), 17546  
5. 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)  
6. Ajneet Dhillon, Ivan Kobyzev, “G-theory of root stacks and equivariant K-theory”, Ann. K-Th., 4:2 (2019), 151  
7. JongHae Keum, Kyoung-Seog Lee, “Examples of Mori dream surfaces of general type with p = 0”, Advances in Mathematics, 347 (2019), 708  
8. Shizhuo Zhang, “Applications of toric systems on surfaces”, Journal of Pure and Applied Algebra, 223:3 (2019), 1139  
9. Yonghwa Cho, Yongnam Lee, “Exceptional collections on Dolgachev surfaces associated with degenerations”, Advances in Mathematics, 324 (2018), 394  
10. Д. О. Орлов, “Производные некоммутативные схемы, геометрические реализации и конечномерные алгебры”, УМН, 73:5 (2018), 123–182        ; D. O. Orlov, “Derived noncommutative schemes, geometric realizations, and finite dimensional algebras”, Russian Math. Surveys, 73:5 (2018), 865–918    
11. Charles Vial, “Exceptional collections, and the Néron–Severi lattice for surfaces”, Advances in Mathematics, 305 (2017), 895  
12. 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  
13. Asher Auel, Marcello Bernardara, Proceedings of Symposia in Pure Mathematics, 95, Surveys on Recent Developments in Algebraic Geometry, 2017, 199  
14. Kyoung-Seog Lee, “Exceptional sequences of maximal length on some surfaces isogenous to a higher product”, Journal of Algebra, 454 (2016), 308  
15. Kyoung-Seog Lee, “Derived categories of surfaces isogenous to a higher product”, Journal of Algebra, 441 (2015), 180  
16. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349        
17. Christian Böhning, Hans-Christian Graf von Bothmer, Pawel Sosna, “On the derived category of the classical Godeaux surface”, Advances in Mathematics, 243 (2013), 203  
18. Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski, Birational Geometry, Rational Curves, and Arithmetic, 2013, 93