Lattices generated by skeletons of reflexive polytopes

Details Lattices generated by skeletons of reflexive polytopes Lattices generated by skeletons of reflexive polytopes

2005-07-24

arxiv.org/abs/math/0507500v1

Mathematics

Combinatorics

6 pages, 5 figures

Scientific paper

Lattices generated by lattice points in skeletons of reflexive polytopes are
essential in determining the fundamental group and integral cohomology of
Calabi-Yau hypersurfaces. Here we prove that the lattice generated by all
lattice points in a reflexive polytope is already generated by lattice points
in codimension two faces. This answers a question of J. Morgan.

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