Salem numbers of automorphisms of K3 surfaces with Picard number $4$

Kwangwoo Lee

doi:10.5802/crmath.533

Géométrie algébrique

Salem numbers of automorphisms of K3 surfaces with Picard number

4

Kwangwoo Lee ¹

¹ Department of Mathematics, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea

Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1805-1812.

Résumé

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 $4$ .

Reçu le : 2021-11-12
Révisé le : 2022-10-30
Accepté le : 2023-07-05
Publié le : 2023-12-21

DOI : 10.5802/crmath.533

Classification : 14J28, 14J50
Mots clés : K3 surface, Automorphism, Salem number

Affiliations des auteurs :

Kwangwoo Lee ¹

¹ Department of Mathematics, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Kwangwoo Lee},
     title = {Salem numbers of automorphisms of {K3} surfaces with {Picard} number $4$},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1805--1812},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     year = {2023},
     doi = {10.5802/crmath.533},
     language = {en},
}

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Kwangwoo Lee. Salem numbers of automorphisms of K3 surfaces with Picard number $4$. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1805-1812. doi : 10.5802/crmath.533. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.533/

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