Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohen-Macaulay fiber cones and defining ideal of Rees algebras of
  modules   Generic Bourbaki ideals were introduced by Simis, Ulrich and Vasconcelos to
study the Cohen-Macaulay property of Rees algebras of modules. In this article
we prove that the same technique can sometimes be used to investigate the
Cohen-Macaulay property of fiber cones of modules and to study the defining
ideal of Rees algebras. This is possible as long as the Rees algebra of a given
module $E$ is a deformation of the Rees algebra of a generic Bourbaki ideal $I$
of $E$. Our main technical result provides a deformation condition that in fact
extends the applicability of generic Bourbaki ideals to situations not covered
by previous work.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ