Isometries of ideal lattices and hyperk\"ahler manifolds
Algebraic Geometry
2014-07-08 v1
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.
Keywords
Cite
@article{arxiv.1407.1814,
title = {Isometries of ideal lattices and hyperk\"ahler manifolds},
author = {Samuel Boissière and Chiara Camere and Giovanni Mongardi and Alessandra Sarti},
journal= {arXiv preprint arXiv:1407.1814},
year = {2014}
}