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K3 surfaces with an automorphism of order 11

Published 21 Aug 2012 in math.AG | (1208.4242v2)

Abstract: This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a general such surface in characteristic 11 has Picard number 2. We also construct K3 surfaces with an automorphism of order 11 in every characteristic, and supersingular K3 surfaces whenever possible.

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