Remarks on K3 surfaces with non-symplectic automorphisms of order 7
classification
🧮 math.AG
keywords
non-symplecticorderautomorphismautomorphismsfixedpairdescribeisomorphism
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In this note, we treat a pair of a K3 surface and a non-symplectic automorphism of order 7m (m=1, 3 and 6) on it. We show that if the fixed locus of a non-symplectic automorphism order 7 is "special" then the pair is unique up to isomorphism. And we describe fixed loci of non-symplectic automorphisms of order 21 and 42.
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