A local-global principle for small triangulated categories

Benson D, Iyengar SB, Krause H (2015)
Mathematical Proceedings of the Cambridge Philosophical Society 158(3): 451-476.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Benson, Dave; Iyengar, Srikanth B.; Krause, HenningUniBi
Abstract / Bemerkung
Local cohomology functors are constructed for the category of cohomological functors on an essentially small triangulated category T equipped with an action of a commutative noetherian ring. This is used to establish a local-global principle and to develop a notion of stratification, for T and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.
Erscheinungsjahr
2015
Zeitschriftentitel
Mathematical Proceedings of the Cambridge Philosophical Society
Band
158
Ausgabe
3
Seite(n)
451-476
ISSN
0305-0041
Page URI
https://pub.uni-bielefeld.de/record/2736363

Zitieren

Benson D, Iyengar SB, Krause H. A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society. 2015;158(3):451-476.
Benson, D., Iyengar, S. B., & Krause, H. (2015). A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society, 158(3), 451-476. doi:10.1017/S0305004115000067
Benson, D., Iyengar, S. B., and Krause, H. (2015). A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society 158, 451-476.
Benson, D., Iyengar, S.B., & Krause, H., 2015. A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society, 158(3), p 451-476.
D. Benson, S.B. Iyengar, and H. Krause, “A local-global principle for small triangulated categories”, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 158, 2015, pp. 451-476.
Benson, D., Iyengar, S.B., Krause, H.: A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society. 158, 451-476 (2015).
Benson, Dave, Iyengar, Srikanth B., and Krause, Henning. “A local-global principle for small triangulated categories”. Mathematical Proceedings of the Cambridge Philosophical Society 158.3 (2015): 451-476.

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arXiv: 1305.1668

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