Fourier-Mukai transformations on K3 surfaces with =1 and Atkin-Lehner involutions

Abstract

We show that there is a surjection from the Fourier-Mukai transformations on projective K3 surfaces with the Picard number (X)=1 to so called to the group of Atkin-Lehner involutions. This was expected in Hosono-Lian-Oguiso-Yau's paper.

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