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arXiv · 1711.02822

K3 surfaces with Picard number 2, Salem polynomials and Pell equation

Kenji Hashimoto·JongHae Keum·Kwangwoo Lee
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Abstract

If an automorphism of a projective K3 surface with Picard number 2 is of infinite order, then the automorphism corresponds to a solution of Pell equation. In this paper, by solving this equation, we determine all Salem polynomials of symplectic and anti-symplectic automorphisms of projective K3 surfaces with Picard number 2.

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Kenji Hashimoto, JongHae Keum, Kwangwoo Lee. 2017-11-08. K3 surfaces with Picard number 2, Salem polynomials and Pell equation. https://arxiv.org/abs/1711.02822

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