Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Remark on Classical Pluecker's formulae   For any reduced curve $C\subset \mathbb P^2$, we define the notions of the
number of its virtual cusps $c_v$ and the number of its virtual nodes $n_v$
which are non-negative, coincide respectively with the numbers of ordinary
cusps and nodes in the case of cuspidal curves, and if $\hat C$ is the dual
curve of an irreducible curve $C$ and $\hat n_v$ and $\hat c_v$ are the numbers
of its virtual nodes and virtual cusps, then the integers $c_v$, $n_v$, $\hat
c_v$, $\hat n_v$ satisfy Classical Pl\"{u}cker's formulae.

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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph