학술저널
REPRESENTATIONS OF THE AUTOMORPHISM GROUP OF A SUPERSINGULAR K3 SURFACE OF ARTIN-INVARIANT 1 OVER ODD CHARACTERISTIC
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
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2014.05287 - 295 (9 pages)
- 2
In this paper, we prove that the image of the represen- tation of the automorphism group of a supersingular K3 surface of Artin-invariant 1 over odd characteristic p on the global two forms is a ¯nite cyclic group of order p + 1. Using this result, we deduce, for such a K3 surface, there exists an automorphism which cannot be lifted over a ¯eld of characteristic 0.
1. Introduction
2. Preliminary: supersingular K3 surfaces
3. Proof
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