Homotopy theory of dg sheaves |
| |
| Authors: | Utsav Choudhury Martin Gallauer Alves de Souza |
| |
| Institution: | 1. Department of Mathematics, RKM Vivekananda University, Belur, India;2. Department of Mathematics, University of California, Los Angeles, California, USA |
| |
| Abstract: | In this note we study the local projective model structure on presheaves of complexes on a site, that is, we describe its classes of cofibrations, fibrations, and weak equivalences. In particular, we prove that the fibrant objects are those satisfying descent with respect to all hypercovers. We also describe cofibrant and fibrant replacement functors with pleasant properties. |
| |
| Keywords: | Derived categories sheaves model categories dg categories |
|
|
