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math.AG2010
Compactified moduli spaces of rational curves in projective homogeneous varieties
Kiryong Chung, Jaehyun Hong, Young-Hoon Kiem
The space of smooth rational curves of degree in a projective variety has compactifications by taking closures in the Hilbert scheme, the moduli space of stable sheaves or…
math.AG2008
Hilbert scheme of rational cubic curves via stable maps
Kiryong Chung, Young-Hoon Kiem
The space of smooth rational cubic curves in projective space $\PP^r$ () is a smooth quasi-projective variety, which gives us an open subset of the corresponding Hilbert sc…