Authors
Citation
R. Colpi, Tilting in Grothendieck categories, FORUM MATH, 11(6), 1999, pp. 735-759
Citations number
36
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
09337741
→ ACNP
Volume
11
Issue
6
Year of publication
1999
Pages
735 - 759
Database
ISI
SICI code
0933-7741(1999)11:6<735:TIGC>2.0.ZU;2-E
Abstract
Given any Grothendieck category G, we study the notion of a tilting object
of G, proving some basic facts of tilting theory in this general setting. O
ur results apply, for instance, to categories of modules over arbitrary rin
gs, as well as to the theory of sheaves in algebraic geometry.