Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational curves on wonderful compactifications of symmetric varieties   This work is a PhD thesis. First we provide some general context on wonderful
varieties and moduli spaces of rational curves. Working over complex numbers we
prove that the moduli space of rational curves with no marked points on the
wonderful compactification of a symmetric space is not irreducible in general.
Lastly we show that in the case of wonderful group compactifications the set of
rational curves with no marked points and irreducible source is irreducible.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
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The categories of this paper are: econ
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: physics