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

2014/10/30 by Boissière, Samuel, Cattaneo, Andrea, Nieper-Wisskirchen, Marc +1 · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.8387

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.

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