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Mathematische Annalen, 2013, Volume 75, Issue 2, Pages 743–759
DOI: https://doi.org/10.1007/s00208-013-0917-2
(Mi matan4)
 

This article is cited in 18 scientific papers (total in 18 papers)

Derived categories of Burniat surfaces and exceptional collections

V. Alexeeva, D. Orlovb

a Department of Mathematics, University of Georgia, Athens, GA 30605, USA
b Algebraic Geometry Section, Steklov Mathematical Institute RAS, Gubkin str. 8, Moscow 119991, Russia
Citations (18)
Funding agency Grant number
National Science Foundation DMS-1200726
Russian Foundation for Basic Research 10-01-93113
11-01-00336
11-01-00568
Ministry of Education and Science of the Russian Federation NSh-4713.2010.1
11.G34.31.0023
The first author was supported by the NSF under DMS-1200726. The second author was partially supported by RFBR grants 10-01-93113, 11-01-00336, 11-01-00568, NSh Grant 4713.2010.1, by AG Laboratory HSE, RF government grant, ag. 11.G34.31.0023.
Received: 28.08.2012
Revised: 16.02.2013
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/matan4
  • This publication is cited in the following 18 articles:
    1. Pat Lank, “Descent conditions for generation in derived categories”, Journal of Pure and Applied Algebra, 228:9 (2024), 107671  crossref
    2. Alexander Vishik, “Torsion Motives”, International Mathematics Research Notices, 2023:23 (2023), 20252  crossref
    3. Theo Raedschelders, Greg Stevenson, “Proper connective differential graded algebras and their geometric realizations”, European Journal of Mathematics, 8:S2 (2022), 574  crossref
    4. Ching-Jui Lai, Sai-Kee Yeung, “Exceptional Collection of Objects on Some Fake Projective Planes”, International Mathematics Research Notices, 2022:22 (2022), 17546  crossref
    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)  crossref
    6. Ajneet Dhillon, Ivan Kobyzev, “G-theory of root stacks and equivariant K-theory”, Ann. K-Th., 4:2 (2019), 151  crossref
    7. JongHae Keum, Kyoung-Seog Lee, “Examples of Mori dream surfaces of general type with p = 0”, Advances in Mathematics, 347 (2019), 708  crossref
    8. Shizhuo Zhang, “Applications of toric systems on surfaces”, Journal of Pure and Applied Algebra, 223:3 (2019), 1139  crossref
    9. Yonghwa Cho, Yongnam Lee, “Exceptional collections on Dolgachev surfaces associated with degenerations”, Advances in Mathematics, 324 (2018), 394  crossref
    10. D. O. Orlov, “Derived noncommutative schemes, geometric realizations, and finite dimensional algebras”, Russian Math. Surveys, 73:5 (2018), 865–918  mathnet  mathnet  crossref  crossref  isi  scopus
    11. Charles Vial, “Exceptional collections, and the Néron–Severi lattice for surfaces”, Advances in Mathematics, 305 (2017), 895  crossref
    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  crossref
    13. Asher Auel, Marcello Bernardara, Proceedings of Symposia in Pure Mathematics, 95, Surveys on Recent Developments in Algebraic Geometry, 2017, 199  crossref
    14. Kyoung-Seog Lee, “Exceptional sequences of maximal length on some surfaces isogenous to a higher product”, Journal of Algebra, 454 (2016), 308  crossref
    15. Kyoung-Seog Lee, “Derived categories of surfaces isogenous to a higher product”, Journal of Algebra, 441 (2015), 180  crossref
    16. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349  mathnet  crossref  isi  scopus
    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  crossref
    18. Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski, Birational Geometry, Rational Curves, and Arithmetic, 2013, 93  crossref
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