Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Generality of a Section of a Curve   Let f: C --> P^3 be a general curve of genus g, mapped to P^3 via a general
linear series of degree d; and let Q be a general (and thus smooth) quadric. In
this paper, we show that the points of intersection f(C) \cap Q give a general
collection of 2d points on Q, except for exactly six exceptional cases. We also
prove similar theorems for every other pair (r, n) for which, except for only
finitely many pairs (d, g), the intersection of a general curve of genus g
mapped to P^r via a general linear series of degree d, with a general
hypersurface S of degree n, is a general collection of dn points on S.
  As explained in arXiv:1809.05980, these results play a key role in the
author's proof of the Maximal Rank Conjecture

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The categories of this paper are: math-ph
19
The categories of this paper are: eess
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
1
The categories of this paper are: cs