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 / Boissiere, S.; Cattaneo, A.; Nieper-Wisskirchen, M.; Sarti, A.. - STAMPA. - 315:(2016), pp. 1-15. (Intervento presentato al convegno K3 surfaces and their moduli) [10.1007/978-3-319-29959-4_1].
The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface
Cattaneo A.;
2016-01-01
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.File in questo prodotto:
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