We prove that there exists a holomorphic symplectic manifold deformation equivalent to the Hilbert scheme of two points on a K3 surface that admits a nonsymplectic automorphism of order 23, which is the maximal possible prime order in this deformation family. The proof uses the theory of ideal lattices in cyclomotic fields.

Isometries of ideal lattices and hyperkähler manifolds

MONGARDI, GIOVANNI;
2016

Abstract

We prove that there exists a holomorphic symplectic manifold deformation equivalent to the Hilbert scheme of two points on a K3 surface that admits a nonsymplectic automorphism of order 23, which is the maximal possible prime order in this deformation family. The proof uses the theory of ideal lattices in cyclomotic fields.
Boissière, Samuel; Camere, Chiara; Mongardi, Giovanni; Sarti, Alessandra
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/567873
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