The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface

Samuel Boissiére,Marc Nieper-Wisskirchen,Alessandra Sarti,Andrea Cattaneo

doi:10.1007/978-3-319-29959-4_1

The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface

Samuel Boissiére, Marc Nieper-Wisskirchen + Show 2 more

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https://doi.org/10.1007/978-3-319-29959-4_1

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Publication Date: Jan 1, 2016

Citations: 26

Affiliation: University of Poitiers, Laboratoire de Mathématiques, University of Parma

#Pell's Equation #Projective Surface + Show 7 more

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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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