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arXiv:1208.4242 [math.AG]AbstractReferencesReviewsResources

K3 surfaces with an automorphism of order 11

Matthias Schuett

Published 2012-08-21, updated 2013-09-30Version 2

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.

Comments: 9 pages; v2: typos corrected, minor edits
Categories: math.AG
Subjects: 14J28, 14G10, 14J27, 14J50
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