• Corpus ID: 46908692

MODULI OF OBJECTS IN DG-CATEGORIES BY BERTRAND TOËN

@inproceedings{Ton2007MODULIOO,
  title={MODULI OF OBJECTS IN DG-CATEGORIES BY BERTRAND TO{\"E}N},
  author={Bertrand To{\"e}n},
  year={2007}
}
– The purpose of this work is to prove the existence of an algebraic moduli classifying objects in a given triangulated category. To any dg-category T (over some base ring k), we define a D−-stack MT in the sense of [TOËN B., VEZZOSI G., Homotopical algebraic geometry II: Geometric stacks and applications, Mem. Amer. Math. Soc., in press], 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… 
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