Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothness of Severi Varieties   We aim at giving a rigorous proof of the state-ments on the smoothness and
the dimension of Severi varieties wherethere are gaps in the proofs in some
standard literature. The method isa mixture of algebraic and analytic methods.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat