On the non-symplectic involutions of the Hilbert square of a K3 surface

On the non-symplectic involutions of the Hilbert square of a K3 surface

We investigate the interplay between the moduli spaces of ample -polarized IHS manifolds of type and of IHS manifolds of type with a non-symplectic involution with invariant lattice of rank one. In particular, we describe geometrically some new involutions of the Hilbert square of a K3 surface whose...

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Veröffentlicht in:Izvestiya. Mathematics 2019-08, Vol.83 (4), p.731-742
Hauptverfasser: Boissière, S., Cattaneo, A., Markushevich, D. G., Sarti, A.
Format: Artikel
Sprache:eng
Schlagworte:
ample cone
irreducible holomorphic symplectic manifolds
Manifolds
Mathematics
non-symplectic automorphisms
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Zusammenfassung:We investigate the interplay between the moduli spaces of ample -polarized IHS manifolds of type and of IHS manifolds of type with a non-symplectic involution with invariant lattice of rank one. In particular, we describe geometrically some new involutions of the Hilbert square of a K3 surface whose existence was proven in a previous paper of Boissière, Cattaneo, Nieper-Wisskirchen, and Sarti.
ISSN:1064-5632
1468-4810
DOI:10.1070/IM8823