Geodesic
Géométrie algébrique
Salem numbers of automorphisms of K3 surfaces with Picard number 4
Lee, Kwangwoo1
1 Department of Mathematics, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea
Comptes Rendus. Mathématique, Tome 361 (2023) no. G11, pp. 1805-1812

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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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DOI : 10.5802/crmath.533
Classification : 14J28, 14J50
Keywords: K3 surface, Automorphism, Salem number

Lee, Kwangwoo 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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     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},
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     year = {2023},
     doi = {10.5802/crmath.533},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.533/}
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Lee, Kwangwoo. Salem numbers of automorphisms of K3 surfaces with Picard number $4$. Comptes Rendus. Mathématique, Tome 361 (2023) no. G11, pp. 1805-1812. doi: 10.5802/crmath.533

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