We classify non-symplectic automorphisms of 3-power order on algebraic $K3$ surfaces which act trivially on the Néron-Severi lattice, i.e., we describe their fixed locus. Moreover we give Weierstrass equations of $K3$ surfaces with a non-symplectic automorphism of 3-power order.
"Non-symplectic automorphisms of 3-power order on $K3$ surfaces." Proc. Japan Acad. Ser. A Math. Sci. 86 (8) 125 - 130, October 2010. https://doi.org/10.3792/pjaa.86.125