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Dynamical degrees of automorphisms of K3 surfaces with Picard number 2

Algebraic Geometry 2025-09-19 v2

Abstract

We show that there exists an automorphism of a projective K3 surface with Picard number 22 such that the trace of its action on the Picard lattice is 33. Together with a result of K. Hashimoto, J. Keum and K. Lee, we determine the set of dynamical degrees of automorphisms of projective K3 surfaces with Picard number 22.

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Cite

@article{arxiv.2405.15195,
  title  = {Dynamical degrees of automorphisms of K3 surfaces with Picard number 2},
  author = {Yuta Takada},
  journal= {arXiv preprint arXiv:2405.15195},
  year   = {2025}
}

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11 pages