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Results tagged with reference-request
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user 2503
This tag is used if a reference is needed in a paper or textbook on a specific result.
21
votes
Stable infinity categories vs dg-categories
See the recent paper
Lee Cohn, Differential graded categories are k-linear stable infinity categories, arXiv:1308.2587
where a proof has been written down. The precise statement is that the under …
- 5,901
16
votes
DG categories in algebraic geometry - guide to the literature?
There are plenty of interesting dg-categories one can associate to a scheme. From the point of view of six functor yoga, these should be viewed as "categories of coefficients" for cohomology theories …
- 5,901
3
votes
Does a fully faithful functor between triangulated categories induce embedding of their Grot...
One should really only talk about $K_0$ of small categories, otherwise one runs into the difficulty explained in Matthias's comment. Assuming $\mathcal{B}$ is small, let me identify $\mathcal{A}$ wit …
- 5,901
9
votes
How to show the following two definitions of homotopy monomorphism are equivalent?
Let $sSet$ be the category of simplicial sets with the Quillen model structure. Define a homotopy monomorphism in $sSet$ to be a morphism whose homotopy fibres are empty or weakly contractible. In a …
- 5,901
12
votes
Accepted
A question on Voevodsky´s categories
One could say that the story begins with Beilinson's conjectures on the existence of a theory of motivic cohomology. In accordance with the insights of the Grothendieck school that cohomology theorie …
- 5,901
15
votes
Accepted
What is the applications of the dg-enhancements of derived categories of sheaves
It is hard to know where to begin! A general principle is that as long as you are only concerned with the derived category of a single variety, it is generally sufficient to consider it as a triangul …
- 5,901