Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Barycentric transformations of Fano polytopes   We introduce the notion of barycentric transformation of Fano polytopes, from
which we can assign a certain type to each Fano polytope. The type can be
viewed as a measure of the extent to which the given Fano polytope is close to
be K\"ahler-Einstein. In particular, we expect that every K\"ahler-Einstein or
symmetric Fano polytope is of type $B_\infty$. We verify this expectation for
some low dimensional cases. We emphasize that for a Fano polytope $X$ of
dimension $1$, $3$ or $5$, $X$ is K\"ahler-Einstein if and only if it is of
type $B_\infty$.

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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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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: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th