Lattices generated by skeletons of reflexive polytopes |
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Authors: | Christian Haase |
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Institution: | Research Group Lattice Polytopes, FU Berlin, Arnimallee 3, 14195 Berlin, Germany |
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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 John Morgan. |
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Keywords: | Lattice polytopes Calabi-Yau manifolds Mirror symmetry |
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