Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal behaviour in sectional matrices   In this paper we want to revive the object sectional matrix which encodes the
Hilbert functions of successive hyperplane sections of a homogeneous ideal. We
translate and/or reprove recent results in this language. Moreover, some new
results are shown about their maximal growth and Persistence Theorem, a gen-
eralization of Gotzmann's persistence Theorem. This suggests that further
investigation of this object might cast a new light in the study of geometric
consequences of maximal growth of the Hilbert function.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas