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http://dx.doi.org/10.14403/jcms.2014.27.2.287

REPRESENTATIONS OF THE AUTOMORPHISM GROUP OF A SUPERSINGULAR K3 SURFACE OF ARTIN-INVARIANT 1 OVER ODD CHARACTERISTIC  

Jang, Junmyeong (Department of Mathematics University of Ulsan)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 287-295 More about this Journal
Abstract
In this paper, we prove that the image of the representation of the automorphism group of a supersingular K3 surface of Artin-invariant 1 over odd characteristic p on the global two forms is a finite 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 field of characteristic 0.
Keywords
supersingular K3 surface; crystalline torelli theorem; automorphism group;
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