%0 Journal Article
%T The homotopy category of cotorsion flat quasi-coherent sheaves over quasi-compact and quasi-separated schemes
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Hosseini, Esmaeil
%D 2020
%\ 12/21/2020
%V 10
%N 2
%P 341-355
%! The homotopy category of cotorsion flat quasi-coherent sheaves over quasi-compact and quasi-separated schemes
%K Quasi-coherent sheaf
%K flat sheaf
%K cotorsion sheaf
%K flat complex
%K homotopy category
%K triangulated category
%R 10.22055/jamm.2020.30236.1741
%X Let X be a quasi-compact and semi-separated scheme and QcoX be the category of all quasi-coherent sheaves of O_X -modules. We show that any flat complex of cotorsion quasi-coherent sheaves of O_X -modules is contractible. As an application, it is shown that the homotopy category of cotorsion flat quasi-coherent sheaves of O_X -modules is the natural replacement of the homotopy category of projectives.
%U https://jamm.scu.ac.ir/article_15546_455a21d1ee88462f8d17243cf1ee487c.pdf