Abstract
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.
Highlights
Tilting theory [1] allows us to construct derived equivalences in various settings
Prime examples are the derived equivalences between algebras obtained from tilting modules [9] or tilting complexes [21] and the derived equivalences between algebras and varieties obtained from tilting bundles, cf. for example [2,3,8,11]
The Grothendieck group [21] and Hochschild cohomology [10, 15, 22] are preserved. Another invariant is the finiteness of global dimension, to which this note is devoted
Summary
Bernhard Keller and Henning Krause Tilting preserves finite global dimension Volume 358, issue 5 (2020), p. Mathématique sont membres du Centre Mersenne pour l’édition scientifique ouverte www.centre-mersenne.org
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