Stratifying triangulated categories

Benson D, Iyengar SB, Krause H (2011)
Journal of Topology 4(3): 641-666.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Benson, Dave; Iyengar, Srikanth B.; Krause, HenningUniBi
Abstract / Bemerkung
A notion of stratification is introduced for any compactly generatedtriangulated category T endowed with an action of a graded commutativenoetherian ring R. The utility of this notion is demonstrated by establishingdiverse consequences which follow when T is stratified by R. Among them are aclassification of the localizing subcategories of T in terms of subsets of theset of prime ideals in R; a classification of the thick subcategories of thesubcategory of compact objects in T; and results concerning the support of theR-module of homomorphisms Hom_T^*(C,D) leading to an analogue of the tensorproduct theorem for support varieties of modular representation of groups.
Erscheinungsjahr
2011
Zeitschriftentitel
Journal of Topology
Band
4
Ausgabe
3
Seite(n)
641-666
eISSN
1753-8424
Page URI
https://pub.uni-bielefeld.de/record/2298400

Zitieren

Benson D, Iyengar SB, Krause H. Stratifying triangulated categories. Journal of Topology. 2011;4(3):641-666.
Benson, D., Iyengar, S. B., & Krause, H. (2011). Stratifying triangulated categories. Journal of Topology, 4(3), 641-666. https://doi.org/10.1112/jtopol/jtr017
Benson, D., Iyengar, S. B., and Krause, H. (2011). Stratifying triangulated categories. Journal of Topology 4, 641-666.
Benson, D., Iyengar, S.B., & Krause, H., 2011. Stratifying triangulated categories. Journal of Topology, 4(3), p 641-666.
D. Benson, S.B. Iyengar, and H. Krause, “Stratifying triangulated categories”, Journal of Topology, vol. 4, 2011, pp. 641-666.
Benson, D., Iyengar, S.B., Krause, H.: Stratifying triangulated categories. Journal of Topology. 4, 641-666 (2011).
Benson, Dave, Iyengar, Srikanth B., and Krause, Henning. “Stratifying triangulated categories”. Journal of Topology 4.3 (2011): 641-666.

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arXiv: 0910.0642

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