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On the irreducibility of the space of genus zero stable log maps to wonderful compactifications. (English) Zbl 1404.14061
Summary: In this paper, we prove the moduli spaces of genus zero stable log maps to a large class of wonderful compactifications of sober spherical homogeneous spaces are irreducible and unirational.

MSC:
14M27 Compactifications; symmetric and spherical varieties
14M20 Rational and unirational varieties
14D20 Algebraic moduli problems, moduli of vector bundles
14M17 Homogeneous spaces and generalizations
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