Classification of Picard lattices of K3 surfaces

@article{Nikulin2017ClassificationOP,
  title={Classification of Picard lattices of K3 surfaces},
  author={Viacheslav Valentinovich Nikulin},
  journal={Izvestiya: Mathematics},
  year={2017},
  volume={82},
  pages={752-816}
}
  • Viacheslav Valentinovich Nikulin
  • Published 2017
  • Mathematics
  • Izvestiya: Mathematics
  • Using results of our papers [19], [20] and [21] about classification of degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, we classify Picard lattices of Kahlerian K3 surfaces. By classification we understand classification depending on their possible finite symplectic automorphism groups and their non-singular rational curves if a Picard lattice is negative definite. 

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