Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gotzmann ideals of the polynomial ring   Let $A = K[x_1, ..., x_n]$ denote the polynomial ring in $n$ variables over a
field $K$. We will classify all the Gotzmann ideals of $A$ with at most $n$
generators. In addition, we will study Hilbert functions $H$ for which all
homogeneous ideals of $A$ with the Hilbert function $H$ have the same graded
Betti numbers. These Hilbert functions will be called inflexible Hilbert
functions. We introduce the notion of segmentwise critical Hilbert function and
show that segmentwise critical Hilbert functions are inflexible.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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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: alg-geom