Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abelian and derived deformations in the presence of Z-generating
  geometric helices   For a Grothendieck category C which, via a Z-generating sequence (O(n))_{n in
Z}, is equivalent to the category of "quasi-coherent modules" over an
associated Z-algebra A, we show that under suitable cohomological conditions
"taking quasi-coherent modules" defines an equivalence between linear
deformations of A and abelian deformations of C. If (O(n))_{n in Z} is at the
same time a geometric helix in the derived category, we show that restricting a
(deformed) Z-algebra to a "thread" of objects defines a further equivalence
with linear deformations of the associated matrix algebra.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg