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.
Revised:
Accepted:
Published online:
Bernhard Keller 1; Henning Krause 2
@article{CRMATH_2020__358_5_563_0, author = {Bernhard Keller and Henning Krause}, title = {Tilting preserves finite global dimension}, journal = {Comptes Rendus. Math\'ematique}, pages = {563--570}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {5}, year = {2020}, doi = {10.5802/crmath.72}, language = {en}, }
Bernhard Keller; Henning Krause. Tilting preserves finite global dimension. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 563-570. doi : 10.5802/crmath.72. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.72/
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