Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic vanishing filtrations and perverse objects in derived categories
  of coherent sheaves   This is a mostly expository paper, intended to explain a very natural
relationship between two a priori distinct notions appearing in the literature:
Generic Vanishing in the context of vanishing theorems and birational geometry,
and Perverse Coherent Sheaves in the context of derived categories. I describe
homological and commutative algebra criteria for checking either condition, and
then recall applications to geometric situations. A few new results, and
especially new proofs, are included as well.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph