Abstract
We determine the structure of the Mordell-Weil lattice, Néron-Severi 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.
Citation
Tetsuji SHIODA. "K3 surfaces and sphere packings." J. Math. Soc. Japan 60 (4) 1083 - 1105, October, 2008. https://doi.org/10.2969/jmsj/06041083
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