Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kodaira dimension of spaces of rational curves on low degree
  hypersurfaces   For a hypersurface in complex projective space $X\subset \PP^n$, we
investigate the singularities and Kodaira dimension of the Kontsevich moduli
spaces $\Kbm{0,0}{X,e}$ parametrizing rational curves of degree $e$ on $X$. If
$d+e \leq n$ and $X$ is a general hypersurface of degree $d$, we prove that
$\Kbm{0,0}{X,e}$ has only canonical singularities and we conjecture the same is
true for the coarse moduli space $\kbm{0,0}{X,e}$.This investigation is
motivated by the question of which Fano hypersurfaces are unirational.

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The categories of this paper are: supr-con
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat