K3 surfaces and sphere packings
Tetsuji SHIODA
Source: J. Math. Soc. Japan Volume 60, Number 4 (2008), 1083-1105.
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.
Primary Subjects: 14J27, 14J28, 14H40
Keywords: K3 surface; Mordell-Weil lattice; Neron-Séveri lattice
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1225894034
Digital Object Identifier: doi:10.2969/jmsj/06041083
Journal of the Mathematical Society of Japan
