Abstract
We prove that the sweeping components of the space of smooth rational curves in a smooth hypersurface of degree in are not uniruled if . We also show that for any , the space of smooth rational curves of degree in a general hypersurface of degree in is not uniruled roughly when .
Citation
Roya Beheshti. "Nonuniruledness results for spaces of rational curves in hypersurfaces." Algebra Number Theory 6 (4) 669 - 687, 2012. https://doi.org/10.2140/ant.2012.6.669
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