Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert Bases and Lecture Hall Partitions   In the interest of finding the minimum additive generating set for the set of
$\boldsymbol{s}$-lecture hall partitions, we compute the Hilbert bases for the
$\boldsymbol{s}$-lecture hall cones in certain cases. In particular, we compute
the Hilbert bases for two well-studied families of sequences, namely the $1\mod
k$ sequences and the $\ell$-sequences. Additionally, we provide a
characterization of the Hilbert bases for $\boldsymbol{u}$-generated Gorenstein
$\boldsymbol{s}$-lecture hall cones in low dimensions.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom