Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\mathbb
  C P^3$   We establish a formula for the Gromov-Witten-Welschinger invariants of
$\mathbb CP^3$ with mixed real and conjugate point constraints. The method is
based on a suggestion by J. Koll\'ar that, considering pencils of quadrics,
some real and complex enumerative invariants of $\mathbb CP^3$ could be
computed in terms of enumerative invariants of $\mathbb CP^1\times\mathbb CP^1$
and of elliptic curves.

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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph