East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SOME REMARKS ON NON-SYMPLECTIC AUTOMORPHISMS OF K3 SURFACES OVER A FIELD OF ODD CHARACTERISTIC

  • Received : 2014.05.04
  • Accepted : 2014.05.16
  • Published : 2014.05.31
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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.

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References

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Cited by

  1. On the Supersingular Reduction of K3 Surfaces with Complex Multiplication vol.2020, pp.20, 2020, https://doi.org/10.1093/imrn/rny210