The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface
Algebraic Geometry
2014-11-18 v2
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.
Keywords
Cite
@article{arxiv.1410.8387,
title = {The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface},
author = {Samuel Boissière and Andrea Cattaneo and Marc Nieper-Wisskirchen and Alessandra Sarti},
journal= {arXiv preprint arXiv:1410.8387},
year = {2014}
}
Comments
minor changes, one reference added