Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the multiplicity of tangent cones of monomial curves   Let $\Lambda$ be a numerical semigroup, $\mathcal{C}\subseteq \mathbb{A}^n$
the monomial curve singularity associated to $\Lambda$, and $\mathcal{T}$ its
tangent cone. In this paper we provide a sharp upper bound for the least
positive integer in $\Lambda$ in terms of the codimension and the maximum
degree of the equations of $\mathcal{T}$, when $\mathcal{T}$ is not a complete
intersection. A special case of this result settles a question of J. Herzog and
D. Stamate.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th