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http://dx.doi.org/10.7858/eamj.2014.022

SOME REMARKS ON NON-SYMPLECTIC AUTOMORPHISMS OF K3 SURFACES OVER A FIELD OF ODD CHARACTERISTIC

Jang, Junmyeong (Department of Mathematics University of Ulsan)

Publication Information

East Asian mathematical journal / v.30, no.3, 2014 , pp. 321-326 More about this Journal

Abstract

In this paper, we present a simple proof of Corollary 3.3 in [5] 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.

Keywords

K3 surface; Non-symplectic automorphism; Crystalline cohomology;

Citations & Related Records

Reference

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