Abstract
We classify terminal simplicial reflexive d-polytopes with 3d − 1 vertices. They turn out to be smooth Fano d-polytopes. When d is even there is one such polytope up to isomorphism, while there are two when d is uneven.
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Øbro, M. Classification of terminal simplicial reflexive d-polytopes with 3d − 1 vertices. manuscripta math. 125, 69–79 (2008). https://doi.org/10.1007/s00229-007-0133-z
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DOI: https://doi.org/10.1007/s00229-007-0133-z