Geodesic
Thick subcategories of the derived category of a hereditary algebra
Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 165-176.

Voir la notice de l'article provenant de la source International Press of Boston

We classify thick subcategories of the bounded derived category of a hereditary abelian category $A$ in terms of subcategories of $A$. The proof can be applied to characterize the localizing subcategories of the full derived category of $A$. As an application we prove an algebraic analog of the telescope conjecture for the derived category of a representation finite hereditary artin algebra.
DOI : 10.4310/HHA.2007.v9.n2.a7
Classification : 16G20, 18E30
Keywords: thick subcategory, hereditary, smashing conjecture, localizing subcategory, derived category 
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     author = {Kristian Br\"uning},
     title = {Thick subcategories of the derived category of a hereditary algebra},
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     pages = {165--176},
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     language = {en},
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Kristian Brüning. Thick subcategories of the derived category of a hereditary algebra. Homology, homotopy, and applications, Tome 9 (2007) no. 2, pp. 165-176. doi : 10.4310/HHA.2007.v9.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2007.v9.n2.a7/

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