Data di Pubblicazione:
2017
Citazione:
A tour about existence and uniqueness of dg enhancements and lifts / A. Canonaco, P. Stellari. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 122:(2017 Dec), pp. 28-52. [10.1016/j.geomphys.2016.11.030]
Abstract:
This paper surveys the recent advances 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 the case, for example, for the unbounded derived category of quasi-coherent sheaves on an algebraic stack or for its full triangulated subcategory of perfect complexes. Moreover we give an account of the recent results about the possibility to lift exact functors between the bounded derived categories of coherent sheaves on smooth schemes to dg (quasi-)functors.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
dg categories; dg enhancements; triangulated categories
Elenco autori:
A. Canonaco, P. Stellari
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Progetto: