Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the depth of blow-up rings of ideals of minimal mixed multiplicity   We show that if $(R, \m)$ is a Cohen-Macaulay local ring and $I$ is an ideal
of minimal mixed multiplicity, then $\depth G(I) \geq d- 1$ implies that
$\depth F(I) \geq d-1$. We use this to show that if $I$ is a contracted ideal
in a two dimensional regular local ring then $\depth R[It]-1= \depth G(I) =
\depth F(I)$. We also give an infinite class of ideals where $R[It]$ is
Cohen-Macaulay but $F(I)$ is not.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat