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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Arithmetic aspects of symmetric edge polytopes
Akihiro Higashitani, Katharina Jochemko and Mateusz MichałekAbstract
We investigate arithmetic, geometric and combinatorial properties of symmetric edge polytopes. We give a complete combinatorial description of their facets. By combining Gr\"obner basis techniques, half-open decompositions and methods for interlacing polynomials we provide an explicit formula for the
This proves Gal’s conjecture for arbitrary flag unimodular triangulations in this case, and, beyond that, we prove a strengthening due to Nevo and Petersen (2011).
- Received:
- 23.07.18
- Published:
- 27.07.18
- MSC Codes:
- 05A15, 52B1
- Keywords:
- Symmetric edge polytope, h^∗ -polynomial, real roots