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 / Boissière, Samuel; Camere, Chiara; Mongardi, Giovanni; Sarti, Alessandra. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - STAMPA. - 2016:4(2016), pp. 963-977. [10.1093/imrn/rnv137]
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.File in questo prodotto:
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