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arxiv: math/0612414 · v2 · submitted 2006-12-14 · 🧮 math.AG · math.CT

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T-model structures on chain complexes of presheaves

H. Fausk
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classification 🧮 math.AG math.CT
keywords categorychaincomplexesconstructedderivedpresheavest-structurestopos
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems

    math.AT 2026-04 unverdicted novelty 7.0

    A dedicated global model structure for K-linear ∞-local systems is constructed via simplicial chain complexes, monoidal for base 1-types under the external tensor product.