Faculty Publications

Title

Picard lattices of families of K3 surfaces

Document Type

Article

Journal/Book/Conference Title

Communications in Algebra

Volume

30

Issue

1

First Page

61

Last Page

82

Abstract

Using toric geometry, lattice theory, and elliptic surface techniques, we compute the Picard Lattice of certain K3 surfaces. In particular, we examine the generic member of each of M. Reid's list of 95 families of Gorenstein K3 surfaces which occur as hypersurfaces in weighted projective 3-spaces. As an application, we are able to determine whether the mirror family (in the sense of mirror symmetry for K3 surfaces) for each one is also on Reid's list.

Original Publication Date

1-1-2002

DOI of published version

10.1081/AGB-120006479

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