Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double Veronese cones with 28 nodes   We study nodal del Pezzo 3-folds of degree $1$ (also known as double Veronese
cones) with $28$ singularities, which is the maximal possible number of
singularities for such varieties. We show that they are in one-to-one
correspondence with smooth plane quartics and use this correspondence to study
their automorphism groups. As an application, we find all $G$-birationally
rigid varieties of this kind, and construct an infinite number of non-conjugate
embeddings of the group $\mathfrak{S}_4$ into the space Cremona group.

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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci