Salem numbers of automorphisms of K3 surfaces with Picard number $4$
We construct automorphisms of positive entropy of K3 surfaces of Picard number $4$ with certain Salem numbers. We also prove that there is a fixed point free automorphism of positive entropy on a K3 surface of Picard number $4$ with Salem degree $4$.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.533/ |
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| _version_ | 1825206257829543936 |
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| author | Lee, Kwangwoo |
| author_facet | Lee, Kwangwoo |
| author_sort | Lee, Kwangwoo |
| collection | DOAJ |
| description | We construct automorphisms of positive entropy of K3 surfaces of Picard number $4$ with certain Salem numbers. We also prove that there is a fixed point free automorphism of positive entropy on a K3 surface of Picard number $4$ with Salem degree $4$. |
| format | Article |
| id | doaj-art-ab988a0af2844106ab04b1bce0396206 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-ab988a0af2844106ab04b1bce03962062025-02-07T11:12:14ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-12-01361G111805181210.5802/crmath.53310.5802/crmath.533Salem numbers of automorphisms of K3 surfaces with Picard number $4$Lee, Kwangwoo0Department of Mathematics, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, KoreaWe construct automorphisms of positive entropy of K3 surfaces of Picard number $4$ with certain Salem numbers. We also prove that there is a fixed point free automorphism of positive entropy on a K3 surface of Picard number $4$ with Salem degree $4$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.533/K3 surfaceAutomorphismSalem number |
| spellingShingle | Lee, Kwangwoo Salem numbers of automorphisms of K3 surfaces with Picard number $4$ Comptes Rendus. Mathématique K3 surface Automorphism Salem number |
| title | Salem numbers of automorphisms of K3 surfaces with Picard number $4$ |
| title_full | Salem numbers of automorphisms of K3 surfaces with Picard number $4$ |
| title_fullStr | Salem numbers of automorphisms of K3 surfaces with Picard number $4$ |
| title_full_unstemmed | Salem numbers of automorphisms of K3 surfaces with Picard number $4$ |
| title_short | Salem numbers of automorphisms of K3 surfaces with Picard number $4$ |
| title_sort | salem numbers of automorphisms of k3 surfaces with picard number 4 |
| topic | K3 surface Automorphism Salem number |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.533/ |
| work_keys_str_mv | AT leekwangwoo salemnumbersofautomorphismsofk3surfaceswithpicardnumber4 |