Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intersections of Q-Divisors on Kontsevich's Moduli Space
  $\bar{M}_{0,n}(P^r,d)$ and Enumerative Geometry   The theory of Q-Cartier divisors on the space of n-pointed, genus 0, stable
maps to projective space is considered. Generators and Picard numbers are
computed. A recursive algorithm computing all top intersection products of
Q-Divisors is established. As a corollary, an algorithm computing all
characteristic numbers of rational curves in P^r is proven (including simple
tangency conditions). Computations of these characteristic numbers are carried
out in many examples. The degree of the 1-cuspidal rational locus in the linear
system of degree d plane curves is explicitly evaluated.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org