Tohoku Mathematical Journal
2013

December
SECOND SERIES VOL. 65, NO. 4

Tohoku Math. J.
65 (2013), 515-522

Title K3 SURFACES WITH AN AUTOMORPHISM OF ORDER 11

Author Matthias Schütt

(Received December 7, 2012, revised February 20, 2013)
Abstract. This paper concerns K3 surfaces with automorphisms of order 11 in arbitrary characteristic. Specifically we study the wild case and prove that a generic 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.

Mathematics Subject Classification. Primary 14J28; Secondary 14G10, 14J27, 14J50.

Key words and phrases. K3 surface, wild automorphism, Lefschetz fixed point formula.

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