K3 surfaces and sphere packings

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概要

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• 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.

• 2008-10-01

著者

• Shioda Tetsuji

  Department Of Mathematics Rikkyo University

関連論文

• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• K3 surfaces and sphere packings
• ON FERMAT VARIETIES

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