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

Autor:	Hashimoto, Kenji, Keum, JongHae, Lee, Kwangwoo
Rok vydání:	2017
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.02822 Zobrazit plný text záznamu View this record from Arxiv