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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…
math.SG2008
On the cohomology of hyperkahler quotients
Lisa Jeffrey, Young-Hoon Kiem, Frances Kirwan
This paper gives a partial desingularisation construction for hyperkähler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyper…