Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Single spot ideals of codimension 3 and long Bourbaki sequences   Let K be a field and S = K[x1,...,xn] be a polynomial ring. A single spot
ideal I =< S is a graded ideal whose local cohomology H^i_\mm(S/I), i< dim S/I
and \mm = (x1,...,xn), only has non-trivial value N, a finite length module, at
i = depth S/I. We consider characterization of single spot ideals in terms of
(long) Bourbaki sequences. The codimension 2 case has been fairly well
investigated. In this paper, we focus on the codimension 3 case.

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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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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: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org