Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A journey from the octonionic $\mathbb P^2$ to a fake $\mathbb P^2$   We discover a family of surfaces of general type with $K^2=3$ and $p=q=0$ as
free $C_{13}$ quotients of special linear cuts of the octonionic projective
plane $\mathbb O \mathbb P^2$. A special member of the family has $3$
singularities of type $A_2$, and is a quotient of a fake projective plane. We
use the techniques of \cite{BF20} to define this fake projective plane by
explicit equations in its bicanonical embedding.

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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: quant-ph