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arxiv: 1410.8387 · v2 · pith:NTV4DEHNnew · submitted 2014-10-30 · 🧮 math.AG

The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface

classification 🧮 math.AG
keywords hilbertpointsautomorphismautomorphismsgenericgroupprojectivescheme
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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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