English

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

Algebraic Geometry 2012-09-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.1209.1459,
  title  = {Fourier-Mukai transformations on K3 surfaces with $\rho =1$ and Atkin-Lehner involutions},
  author = {Kotaro Kawatani},
  journal= {arXiv preprint arXiv:1209.1459},
  year   = {2012}
}

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10 pages