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Dynamical degrees of automorphisms of K3 surfaces with Picard number 2

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… Click to show full abstract

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 $2$.

Keywords: number; dynamical degrees; surfaces picard; picard number; automorphisms surfaces; degrees automorphisms

Journal Title: Communications in Algebra
Year Published: 2024

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