We construct automorphisms of positive entropy of K3 surfaces of Picard number 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 with Salem degree .
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Keywords: K3 surface, Automorphism, Salem number
Kwangwoo Lee 1
@article{CRMATH_2023__361_G11_1805_0, 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}, }
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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