Vertex-Maximal Lattice Polytopes Contained in 2-Simplices
| Autor: | Litza, Jan-Philipp, Pegel, Christoph, Schmitz, Kirsten |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | Motivated by the problem of bounding the number of rays of plane tropical curves we study the following question: Given $n\in\mathbb{N}$ and a unimodular $2$-simplex $\Delta$ what is the maximal number of vertices a lattice polytope contained in $n\cdot \Delta$ can have? We determine this number for an infinite subset of $\mathbb{N}$ by providing a family of vertex-maximal polytopes and give bounds for the other cases. Comment: 13 pages, 7 figures |
| Databáze: | arXiv |
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