Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nodal Curves on K3 Surfaces   In this paper, we study the Severi variety $V_{L,g}$ of genus $g$ curves in
$|L|$ on a general polarized K3 surface $(X,L)$. We show that the closure of
every component of $V_{L,g}$ contains a component of $V_{L,g-1}$. As a
consequence, we see that the general members of every component of $V_{L,g}$
are nodal.

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The categories of this paper are: eess
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex