Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On almost revlex ideals with Hilbert function of complete intersections   In this paper, we investigate the behavior of almost reverse lexicographic
ideals with the Hilbert function of a complete intersection. More precisely,
over a field $K$, we give a new constructive proof of the existence of the
almost revlex ideal $J\subset K[x_1,\dots,x_n]$, with the same Hilbert function
as a complete intersection defined by $n$ forms of degrees $d_1\leq \dots \leq
d_n$. Properties of the reduction numbers for an almost revlex ideal have an
important role in our inductive and constructive proof, which is different from
the more general construction given by Pardue in 2010. We also detect several
cases in which an almost revlex ideal having the same Hilbert function as a
complete intersection corresponds to a singular point in a Hilbert scheme. This
second result is the outcome of a more general study of lower bounds for the
dimension of the tangent space to a Hilbert scheme at stable ideals, in terms
of the number of minimal generators.

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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org