Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on bounds for multiplicities   Let S=K[x_1,...,x_n] be a polynomial ring and R=S/I be a graded K-algebra
where I is a graded ideal in S. Herzog, Huneke and Srinivasan have conjectured
that the multiplicity of R is bounded above by a function of the maximal shifts
in the minimal graded free resolution of R over S. We prove the conjecture in
the case that codim(R)=2 which generalizes results in of Herzog, Srinivasan and
Gold. We also give a proof for the bound in the case in which I is
componentwise linear. For example, stable and squarefree stable ideals belong
to this class of ideals.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
8
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: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph