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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 290, Pages 80–94
DOI: https://doi.org/10.1134/S0371968515030073 (Mi tm3641) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Geometric realizations of quiver algebras

D. O. Orlov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (265 kB) Citations (19)
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DOI: https://doi.org/10.1134/S0371968515030073
Abstract: We construct strong exceptional collections of vector bundles on smooth projective varieties that have a prescribed endomorphism algebra. We prove that the construction problem always has a solution. We consider some applications to noncommutative projective planes and to the quiver connected with the three-point Ising function.
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: March 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 290, Issue 1, Pages 70–83
DOI: https://doi.org/10.1134/S0081543815060073
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: D. O. Orlov, “Geometric realizations of quiver algebras”, Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, MAIK Nauka/Interperiodica, Moscow, 2015, 80–94; Proc. Steklov Inst. Math., 290:1 (2015), 70–83
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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