Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Group Schemes of Hilbert Scheme of $n$ Points on a Smooth
  Projective Surface   Let $k$ be an algebraically closed field of characteristic $p > 3$. Let $X$
be an irreducible smooth projective surface over $k$. Fix an integer $n \geq 1$
and let ${\mathcal{H}{\it ilb}}_X^n$ be the Hilbert scheme parameterizing
effective $0$-cycles of length $n$ on $X$. The aim of the present article is to
find the $S$-fundamental group scheme and Nori's fundamental group scheme of
the Hilbert scheme $\mathcal{H}{\it ilb}_X^n$.

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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th