A G ] 1 4 M ar 2 00 5 Moduli of objects in dg-categories

Content Provider	Semantic Scholar
Author	Toën, Bertrand Vaquié, Michel
Copyright Year	2005
Abstract	To any dg-category T (over some base ring k), we define a D−-stack MT in the sense of [HAGII], classifying certain T -dg-modules. When T is saturated, MT classifies compact objects in the triangulated category [T ] associated to T . The main result of this work states that under certain finiteness conditions on T (e.g. if it is saturated) the D−-stack MT is locally geometric (i.e. union of open and geometric sub-stacks). As a consequence we obtain the existence of reasonable moduli for perfect complexes on a smooth and proper scheme, as well as complexes of representations of a finite quiver.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/math/0503269v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/math/0503269v1.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article