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.

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

Cattaneo A.;
2016

Abstract

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.
2016
Progress in Mathematics
K3 surfaces and their moduli
978-3-319-29958-7
978-3-319-29959-4
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3331117
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