Dynamical degrees of automorphisms of K3 surfaces with Picard number 2
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909793558462464 |
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| author | Takada, Yuta |
| author_facet | Takada, Yuta |
| contents | We show that there exists an automorphism of a projective K3 surface with Picard number $2$ such that the trace of its action on the Picard lattice is $3$. 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 $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical degrees of automorphisms of K3 surfaces with Picard number 2 Takada, Yuta Algebraic Geometry 14J28, 14J50, 11H56 We show that there exists an automorphism of a projective K3 surface with Picard number $2$ such that the trace of its action on the Picard lattice is $3$. 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 $2$. |
| title | Dynamical degrees of automorphisms of K3 surfaces with Picard number 2 |
| topic | Algebraic Geometry 14J28, 14J50, 11H56 |
| url | https://arxiv.org/abs/2405.15195 |