Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the multiplicity of determinantal ideals   Herzog, Huneke, and Srinivasan have conjectured that for any homogeneous
$k$-algebra, the multiplicity is bounded above by a function of the maximal
degrees of the syzygies and below by a function of the minimal degrees of the
syzygies. The goal of this paper is to establish the multiplicity conjecture of
Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay
algebras over a field $k$ for $k$-algebras $k[x_1, ..., x_n]/I$ being $I$ a
determinantal ideal of arbitrary codimension.

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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph