Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The automorphism group of the Hilbert scheme of two points on a generic
  projective K3 surface   We determine the automorphism group of the Hilbert scheme of two points on a
generic projective K3 surface of any polarization. We obtain in particular new
examples of Hilbert schemes of points having non-natural non-symplectic
automorphisms. The existence of these automorphisms depends on solutions of
Pell's equation.

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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat