Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Appendix to "Welschinger invariant and enumeration of real rational
  curves"   The invariance of the Welschinger numbers for real unnodal Del Pezzo
surfaces, which we used for the enumeration of real rational curves on real
toric Del Pezzo surfaces (see math.AG/0303378 and IMRN 49 (2003), 2639-2653),
follows from J.-Y. Welschinger's theorem stated and proved in a symplectic
setting (math.AG/0303145 and CRAS, Ser. I, 336 (2003), 341-344). Here, we give
an algebraic geometry version of the proof of the above invariance.

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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: econ