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. Our results apply, for instance, to categories of modules over arbitrary rings, as well as to the theory of sheaves in algebraic geometry.
Tilting in Grothendieck categories
COLPI, RICCARDO
1999
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. Our results apply, for instance, to categories of modules over arbitrary rings, as well as to the theory of sheaves in algebraic geometry.File in questo prodotto:
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