Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Least Generating Degree of Symbolic Powers of Ideals of Fermat
  Configuration of Points   Let $n \ge 2$ be an integer and consider the defining ideal of the Fermat
configuration of points in $\mathbb{P}^2$:
$I_n=(x(y^n-z^n),y(z^n-x^n),z(x^n-y^n)) \subset R=\mathbb{C}[x,y,z]$. In this
paper, we compute explicitly the least degree of generators of its symbolic
powers in all unknown cases. As direct applications, we easily verify
Chudnovsky's Conjecture, Demailly's Conjecture and Harbourne-Huneke Containment
problem as well as calculating explicitly the Waldschmidt constant and
(asymptotic) resurgence number.

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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con