Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lifting functor for toric sheaves   For a variety X which admits a Cox ring we introduce a functor from the
category of quasi-coherent sheaves on $X$ to the category of graded modules
over the homogeneous coordinate ring of $X$. We show that this functor is
right-adjoint to the sheafification functor and therefore left-exact. Moreover,
we show that this functor preserves torsion-freeness and reflexivity. For the
case of toric sheaves we give a combinatorial characterization of its
right-derived functors in terms of certain right-derived limit functors.

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The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat