Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence classes for smooth Fano polytopes   Let $\mathcal{F}(n)$ be the set of smooth Fano $n$-polytopes up to unimocular
equivalence. In this paper, we consider the F-equivalence or I-equivalence
classes for $\mathcal{F}(n)$ and introduce F-isolated or I-isolated smooth Fano
$n$-polytopes. First, we describe all of F-equivalence classes and
I-equivalence classes for $\mathcal{F}(5)$. We also give a complete
characterization of F-equivalence classes (I-equivalence classes) for smooth
Fano $n$-polytopes with $n+3$ vertices and construct a family of I-isolated
smooth Fano polytopes.

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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an