K 3 surfaces and sphere packings

@inproceedings{ShiodaK3S,
  title={K 3 surfaces and sphere packings},
  author={Tetsuji Shioda}
}
We determine the structure of the Mordell-Weil lattice, NéronSeveri lattice and the lattice of transcendental cycles for certain elliptic K3 surfaces. We find that such questions from algebraic geometry are closely related to the sphere packing problem, and a key ingredient is the use of the sphere packing bounds in establishing geometric results. 

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