no. 5
Algèbre homologique
Tilting preserves finite global dimension
Keller, Bernhard1  ; Krause, Henning2
1 Université de Paris, UFR de Mathématiques, Institut de Mathématiques de Jussieu–PRG, UMR 7586 du CNRS, Case 7012, Bâtiment Sophie Germain, 75205 Paris Cedex 13, France
2 Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
Comptes Rendus. Mathématique, Tome 358 (2020) no. 5, pp. 563-570.

Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.

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DOI : 10.5802/crmath.72
Classification : 18G80, 18G20
Keller, Bernhard 1 ; Krause, Henning 2

1 Université de Paris, UFR de Mathématiques, Institut de Mathématiques de Jussieu–PRG, UMR 7586 du CNRS, Case 7012, Bâtiment Sophie Germain, 75205 Paris Cedex 13, France
2 Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany 
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Keller, Bernhard; Krause, Henning. Tilting preserves finite global dimension. Comptes Rendus. Mathématique, Tome 358 (2020) no. 5, pp. 563-570. doi : 10.5802/crmath.72. http://www.numdam.org/articles/10.5802/crmath.72/

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