Model category structures on chain complexes of sheaves
نویسندگان
چکیده
منابع مشابه
Model Category Structures on Chain Complexes of Sheaves
In this paper, we try to determine when the derived category of an abelian category is the homotopy category of a model structure on the category of chain complexes. We prove that this is always the case when the abelian category is a Grothendieck category, as has also been done by Morel. But this model structure is not very useful for defining derived tensor products. We therefore consider ano...
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We work with varieties over a field k of characteristic 0, though many arguments go through without this assumption. The notation D(X) is reserved for the bounded derived category of coherent sheaves on a variety X, namely D(X) := D c(X). The core of this paper is concerned with the construction of a “constant” t-structure on the bounded derived category of coherent sheaves D(X×S), with X and S...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2001
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-01-02721-0