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Izvestiya: Mathematics, 2004, Volume 68, Issue 4, Pages 749–781
DOI: https://doi.org/10.1070/IM2004v068n04ABEH000497 (Mi im497) 		 
This article is cited in 28 scientific papers (total in 28 papers)

t-stabilities and t-structures on triangulated categories

A. L. Gorodentsev, S. A. Kuleshov, A. N. Rudakov
English version PDF (356 kB) Citations (28)
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DOI: https://doi.org/10.1070/IM2004v068n04ABEH000497
Abstract: We suggest a new concept of t-stability in a triangulated category. It generalizes the stability data introduced by Bridgeland [6]. We study some links between t-stabilities and t-structures and obtain a complete classification of t-stabilities and bounded t-structures on the derived categories of coherent sheaves on the projective line and on an elliptic curve.
Received: 20.01.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 4, Pages 117–150
DOI: https://doi.org/10.4213/im497
Bibliographic databases:
UDC: 512.581+512.772.3
MSC: 18E10, 14F05, 18F20
Language: English
Original paper language: Russian
Citation: A. L. Gorodentsev, S. A. Kuleshov, A. N. Rudakov, “t-stabilities and t-structures on triangulated categories”, Izv. RAN. Ser. Mat., 68:4 (2004), 117–150; Izv. Math., 68:4 (2004), 749–781
Citation in format AMSBIB
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\jour Izv. RAN. Ser. Mat.
\yr 2004
\vol 68
\issue 4
\pages 117--150
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\transl
\jour Izv. Math.
\yr 2004
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  • https://doi.org/10.1070/IM2004v068n04ABEH000497
  • https://www.mathnet.ru/eng/im/v68/i4/p117
    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:893
    Russian version PDF:447
    English version PDF:39
    References:78
    First page:1
     
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