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Results tagged with dg-categories
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user 7108
A differential graded category is a category enriched over complexes of modules for some commutative ring.
3
votes
Accepted
Perfect DG modules
Well by definition a DG module $X$ is perfect iff it is a direct summand of a module which is a finite iterated extension of free modules (it's then a nontrivial result that this property is the same …
- 7,952
4
votes
1
answer
330
views
Reference request: category of sheaves of O-modules with coherent cohomology
Suppose $X$ is a smooth algebraic variety (say, in characteristic $0$). It's a folklore result that $D^b\text{Coh}(X)$ is equivalent to the derived category of complexes of sheaves of $\mathcal{O}_X$- …
- 7,952