Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sharp bound for the Castelnuovo-Mumford regularity of subspace
  arrangements   We show that the ideal of an arrangement of d linear subspaces of projective
space is d-regular in the sense of Castelnuovo and Mumford, answering a
question of B. Sturmfels. In particular this implies that the ideal of an
arrangement of d subspaces is generated in degrees less than or equal to d.

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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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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: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int