Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resolutions in factorization categories   Generalizing Eisenbud's matrix factorizations, we define factorization
categories. Following work of Positselski, we define their associated derived
categories. We construct specific resolutions of factorizations built from a
choice of resolutions of their components. We use these resolutions to lift
fully-faithfulness statements from derived categories of Abelian categories to
derived categories of factorizations and to construct a spectral sequence
computing the morphism spaces in the derived categories of factorizations from
Ext-groups of their components in the underlying Abelian category.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol