T-model structures on chain complexes of presheaves

Mathematics – Algebraic Geometry

Scientific paper

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22 pages

Scientific paper

A tensor model structure is constructed on the category of chain complexes of
presheaves of R-modules for a sheaf of rings R in a Grothendieck topos. If the
topos has enough points, then the homotopy category is equivalent to the
derived category. Some t-structures, generalizing the perverse t-structures,
are constructed on the derived category.

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