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A tour about existence and uniqueness of dg enhancements and lifts | Alberto Canonaco
; Paolo Stellari
; | Date: |
2 May 2016 | Abstract: | This paper surveys the recent advancements concerning the relations between
triangulated (or derived) categories and their dg enhancements. We explain when
some interesting triangulated categories arising in algebraic geometry have a
unique dg enhancement. This is applied, for example, to the unbounded derived
category of quasi-coherent sheaves on an algebraic stack or to its full
triangulated subcategory of perfect complexes. Moreover we give an account of
the recent results about the liftability to dg (quasi-)functors of exact
functors between the bounded derived categories of coherent sheaves on smooth
schemes. | Source: | arXiv, 1605.0490 | Services: | Forum | Review | PDF | Favorites |
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