Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Osculating cone to special Brill-Noether Loci   In this paper, we describe the osculating cone to Brill-Noether loci
$W^{0}_{d}(C)$ at smooth isolated points of $W^{1}_{d}(C)$ for a smooth
canonically embedded curve $C$ of even genus $g=2(d-1)$. In particular, we show
that the canonical curve $C$ is a component of the osculating cone. The proof
is based on techniques introduced by George Kempf in 1986.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex