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Mathematics > Number Theory

Title: Isometries of lattices and automorphisms of K3 surfaces

Authors: Eva Bayer-Fluckiger
(Submitted on 15 Jul 2021 (v1), last revised 28 Dec 2022 (this version, v2))
Abstract: The aim of this paper is to give necessary and sufficient conditions for an integral polynomial to be the characteristic polynomial of a semi-simple isometry of some even unimodular lattice of given signature. This result has applications applications to automorphisms of K3 surfaces; in particular, we show that every Salem number of degree 4, 6, 8,1 2, 14 or 16 is the dynamical degree of an automorphism of a non-projective K3 surface.
Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG); Dynamical Systems (math.DS)
Cite as: arXiv:2107.07583 [math.NT]
  (or arXiv:2107.07583v2 [math.NT] for this version)

Submission history

From: Eva Bayer [view email]
[v1] Thu, 15 Jul 2021 19:43:01 GMT (37kb)
[v2] Wed, 28 Dec 2022 13:15:30 GMT (34kb)
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