Lattices generated by skeletons of reflexive polytopes
Combinatorics
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0507500,
title = {Lattices generated by skeletons of reflexive polytopes},
author = {Christian Haase and Benjamin Nill},
journal= {arXiv preprint arXiv:math/0507500},
year = {2007}
}
Comments
6 pages, 5 figures