Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a stratification of the Kontsevich space of the Grassmannian G(2,4)
  and enumerative geometry   We study the geometry of the Kontsevich compactification of stable maps to
the Grassmannian of lines in the projective space. We consider a stratification
of this space. As an application we compute the degree of the variety
parametrizing rational ruled surfaces with a minimal directix of degree d/2-1
by intersecting divisors in the moduli space of stable maps. For example, there
are 128054031872040 rational ruled sextics passing through 25 points in
$\mathbb{P}^{3}$ with a minimal directrix of degree 2.

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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
19
The categories of this paper are: eess
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs