Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex-Maximal Lattice Polytopes Contained in 2-Simplices   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.

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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys