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

2012/09/07 by Kotaro Kawatani, Kawatani, Kotaro
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1209.1459

openalex publication_date 2012/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

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• Fourier-Mukai loci of K3 surfaces of Picard number one
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