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arXiv · 1407.1814

Isometries of ideal lattices and hyperkähler manifolds

Samuel Boissière·Chiara Camere·Giovanni Mongardi·Alessandra Sarti
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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 non-symplectic automorphism of order 23, that is the maximal possible prime order in this deformation family. The proof uses the theory of ideal lattices in cyclomotic fields.

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Samuel Boissière, Chiara Camere, Giovanni Mongardi, Alessandra Sarti. 2014-07-07. Isometries of ideal lattices and hyperkähler manifolds. https://arxiv.org/abs/1407.1814

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