Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Full exceptional collections of vector bundles on rank-two linear GIT
  quotients   We produce full strong exceptional collections consisting of vector bundles
on the geometric invariant theory quotient of certain linear actions of a split
reductive group $G$ of rank two. The vector bundles correspond to irreducible
$G$-representations whose weights lie in an explicit bounded region in the
weight space of $G$. We also describe a method for constructing more examples
of linear GIT quotients with full strong exceptional collections of this kind
as "decorated" quiver varieties.

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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: physics