Some Remarks on Non-Symplectic Automorphisms of K3 Surfaces over a Field of Odd Characteristic
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In this paper, we present a simple proof of Corollary 3.3 in \cite{J} using the fact that for a K3 surface of finite height over a field of odd characteristic, the height is a multiple of the non-symplectic order. Also we prove for a non-symplectic CM K3 surface defined over a number field, the Frobenius invariant of the reduction over a finite field is determined by the congruence class of residue characteristic modulo the non-symplectic order of the K3 surface.
Abstract
In this paper, we present a simple proof of Corollary 3.3 in \cite{J} using the fact that for a K3 surface of finite height over a field of odd characteristic, the height is a multiple of the non-symplectic order. Also we prove for a non-symplectic CM K3 surface defined over a number field, the Frobenius invariant of the reduction over a finite field is determined by the congruence class of residue characteristic modulo the non-symplectic order of the K3 surface.
참고문헌 (12)
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