Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Row Ideals and Fibers of Morphisms   We study the fibers of a projective morphism and some related algebraic
problems. We characterize the analytic spread of a homogeneous ideal through
properties of its syzygy matrix. Powers of linearly presented ideals need not
be linearly presented, but we identify a weaker linearity property that is
preserved under taking powers.

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The categories of this paper are: math-ph
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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: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an